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Finding the Fourth Proportional to 719,320.97, 992,514.76 and 413,338.24

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Solution

The fourth proportional to 719,320.97, 992,514.76 and 413,338.24 is: 570,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,320.97 : 992,514.76 = 413,338.24 : x
  2. Step 2: Convert to fraction form
    719,320.97/992,514.76 = 413,338.24/x
  3. Step 3: Cross multiply
    719,320.97x = 992,514.76 × 413,338.24
  4. Step 4: Simplify right side
    719,320.97x = 410,244,306,604.75
  5. Step 5: Solve for x
    x = 410,244,306,604.75/719,320.97
  6. Step 6: Final answer
    x = 570,321.63

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Half scale
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Double scale
Find fourth proportional to 719,321.97, 992,516.14 and 413,339.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.