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Finding the Fourth Proportional to 492,966.97, 680,294.42 and 266,612.47

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Solution

The fourth proportional to 492,966.97, 680,294.42 and 266,612.47 is: 367,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,966.97 : 680,294.42 = 266,612.47 : x
  2. Step 2: Convert to fraction form
    492,966.97/680,294.42 = 266,612.47/x
  3. Step 3: Cross multiply
    492,966.97x = 680,294.42 × 266,612.47
  4. Step 4: Simplify right side
    492,966.97x = 181,374,978,010.69
  5. Step 5: Solve for x
    x = 181,374,978,010.69/492,966.97
  6. Step 6: Final answer
    x = 367,925.21

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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.