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Finding the Fourth Proportional to 506,755.62, 699,275.13 and 343,079.17

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Solution

The fourth proportional to 506,755.62, 699,275.13 and 343,079.17 is: 473,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,755.62 : 699,275.13 = 343,079.17 : x
  2. Step 2: Convert to fraction form
    506,755.62/699,275.13 = 343,079.17/x
  3. Step 3: Cross multiply
    506,755.62x = 699,275.13 × 343,079.17
  4. Step 4: Simplify right side
    506,755.62x = 239,906,729,453.85
  5. Step 5: Solve for x
    x = 239,906,729,453.85/506,755.62
  6. Step 6: Final answer
    x = 473,417.01

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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.