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Finding the Fourth Proportional to 506,753.85, 699,272.69 and 343,077.40

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Solution

The fourth proportional to 506,753.85, 699,272.69 and 343,077.40 is: 473,414.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,753.85 : 699,272.69 = 343,077.40 : x
  2. Step 2: Convert to fraction form
    506,753.85/699,272.69 = 343,077.40/x
  3. Step 3: Cross multiply
    506,753.85x = 699,272.69 × 343,077.40
  4. Step 4: Simplify right side
    506,753.85x = 239,904,651,164.46
  5. Step 5: Solve for x
    x = 239,904,651,164.46/506,753.85
  6. Step 6: Final answer
    x = 473,414.57

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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.