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Finding the Fourth Proportional to 415,731.32, 573,710.69 and 224,744.75

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Solution

The fourth proportional to 415,731.32, 573,710.69 and 224,744.75 is: 310,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,731.32 : 573,710.69 = 224,744.75 : x
  2. Step 2: Convert to fraction form
    415,731.32/573,710.69 = 224,744.75/x
  3. Step 3: Cross multiply
    415,731.32x = 573,710.69 × 224,744.75
  4. Step 4: Simplify right side
    415,731.32x = 128,938,465,596.38
  5. Step 5: Solve for x
    x = 128,938,465,596.38/415,731.32
  6. Step 6: Final answer
    x = 310,148.55

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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.