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Finding the Fourth Proportional to 415,792, 573,794.56 and 232,038.40

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Solution

The fourth proportional to 415,792, 573,794.56 and 232,038.40 is: 320,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,792 : 573,794.56 = 232,038.40 : x
  2. Step 2: Convert to fraction form
    415,792/573,794.56 = 232,038.40/x
  3. Step 3: Cross multiply
    415,792x = 573,794.56 × 232,038.40
  4. Step 4: Simplify right side
    415,792x = 133,142,371,631.10
  5. Step 5: Solve for x
    x = 133,142,371,631.10/415,792
  6. Step 6: Final answer
    x = 320,213.88

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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.