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Finding the Fourth Proportional to 415,218.74, 573,001.85 and 224,232.11

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Solution

The fourth proportional to 415,218.74, 573,001.85 and 224,232.11 is: 309,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,218.74 : 573,001.85 = 224,232.11 : x
  2. Step 2: Convert to fraction form
    415,218.74/573,001.85 = 224,232.11/x
  3. Step 3: Cross multiply
    415,218.74x = 573,001.85 × 224,232.11
  4. Step 4: Simplify right side
    415,218.74x = 128,485,413,859.40
  5. Step 5: Solve for x
    x = 128,485,413,859.40/415,218.74
  6. Step 6: Final answer
    x = 309,440.31

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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.