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Finding the Fourth Proportional to 413,685.28, 570,887.76 and 232,404.88

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Solution

The fourth proportional to 413,685.28, 570,887.76 and 232,404.88 is: 320,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,685.28 : 570,887.76 = 232,404.88 : x
  2. Step 2: Convert to fraction form
    413,685.28/570,887.76 = 232,404.88/x
  3. Step 3: Cross multiply
    413,685.28x = 570,887.76 × 232,404.88
  4. Step 4: Simplify right side
    413,685.28x = 132,677,101,356.27
  5. Step 5: Solve for x
    x = 132,677,101,356.27/413,685.28
  6. Step 6: Final answer
    x = 320,719.90

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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.