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Finding the Fourth Proportional to 415,233.31, 573,021.94 and 224,246.68

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Solution

The fourth proportional to 415,233.31, 573,021.94 and 224,246.68 is: 309,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,233.31 : 573,021.94 = 224,246.68 : x
  2. Step 2: Convert to fraction form
    415,233.31/573,021.94 = 224,246.68/x
  3. Step 3: Cross multiply
    415,233.31x = 573,021.94 × 224,246.68
  4. Step 4: Simplify right side
    415,233.31x = 128,498,267,612.16
  5. Step 5: Solve for x
    x = 128,498,267,612.16/415,233.31
  6. Step 6: Final answer
    x = 309,460.40

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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.