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Finding the Fourth Proportional to 415,240.69, 573,032.01 and 224,254.12

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Solution

The fourth proportional to 415,240.69, 573,032.01 and 224,254.12 is: 309,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,240.69 : 573,032.01 = 224,254.12 : x
  2. Step 2: Convert to fraction form
    415,240.69/573,032.01 = 224,254.12/x
  3. Step 3: Cross multiply
    415,240.69x = 573,032.01 × 224,254.12
  4. Step 4: Simplify right side
    415,240.69x = 128,504,789,134.38
  5. Step 5: Solve for x
    x = 128,504,789,134.38/415,240.69
  6. Step 6: Final answer
    x = 309,470.61

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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.