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Finding the Fourth Proportional to 414,627.40, 572,178.90 and 233,339.28

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Solution

The fourth proportional to 414,627.40, 572,178.90 and 233,339.28 is: 322,004.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,627.40 : 572,178.90 = 233,339.28 : x
  2. Step 2: Convert to fraction form
    414,627.40/572,178.90 = 233,339.28/x
  3. Step 3: Cross multiply
    414,627.40x = 572,178.90 × 233,339.28
  4. Step 4: Simplify right side
    414,627.40x = 133,511,812,557.19
  5. Step 5: Solve for x
    x = 133,511,812,557.19/414,627.40
  6. Step 6: Final answer
    x = 322,004.32

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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.