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Finding the Fourth Proportional to 415,323.77, 573,147.03 and 224,337.15

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Solution

The fourth proportional to 415,323.77, 573,147.03 and 224,337.15 is: 309,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,323.77 : 573,147.03 = 224,337.15 : x
  2. Step 2: Convert to fraction form
    415,323.77/573,147.03 = 224,337.15/x
  3. Step 3: Cross multiply
    415,323.77x = 573,147.03 × 224,337.15
  4. Step 4: Simplify right side
    415,323.77x = 128,578,171,241.17
  5. Step 5: Solve for x
    x = 128,578,171,241.17/415,323.77
  6. Step 6: Final answer
    x = 309,585.39

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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.