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Finding the Fourth Proportional to 414,754.59, 572,354.99 and 233,465.96

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Solution

The fourth proportional to 414,754.59, 572,354.99 and 233,465.96 is: 322,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,754.59 : 572,354.99 = 233,465.96 : x
  2. Step 2: Convert to fraction form
    414,754.59/572,354.99 = 233,465.96/x
  3. Step 3: Cross multiply
    414,754.59x = 572,354.99 × 233,465.96
  4. Step 4: Simplify right side
    414,754.59x = 133,625,403,172.04
  5. Step 5: Solve for x
    x = 133,625,403,172.04/414,754.59
  6. Step 6: Final answer
    x = 322,179.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.