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Finding the Fourth Proportional to 506,755.71, 699,275.26 and 343,079.26

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Solution

The fourth proportional to 506,755.71, 699,275.26 and 343,079.26 is: 473,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,755.71 : 699,275.26 = 343,079.26 : x
  2. Step 2: Convert to fraction form
    506,755.71/699,275.26 = 343,079.26/x
  3. Step 3: Cross multiply
    506,755.71x = 699,275.26 × 343,079.26
  4. Step 4: Simplify right side
    506,755.71x = 239,906,841,351.19
  5. Step 5: Solve for x
    x = 239,906,841,351.19/506,755.71
  6. Step 6: Final answer
    x = 473,417.14

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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.