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Finding the Fourth Proportional to 468,077.90, 702,116.85 and 413,840.30

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Solution

The fourth proportional to 468,077.90, 702,116.85 and 413,840.30 is: 620,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,077.90 : 702,116.85 = 413,840.30 : x
  2. Step 2: Convert to fraction form
    468,077.90/702,116.85 = 413,840.30/x
  3. Step 3: Cross multiply
    468,077.90x = 702,116.85 × 413,840.30
  4. Step 4: Simplify right side
    468,077.90x = 290,564,247,839.06
  5. Step 5: Solve for x
    x = 290,564,247,839.06/468,077.90
  6. Step 6: Final answer
    x = 620,760.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.