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Finding the Fourth Proportional to 802,175.40, 1,107,505.38 and 516,192.48

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Solution

The fourth proportional to 802,175.40, 1,107,505.38 and 516,192.48 is: 712,669.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,175.40 : 1,107,505.38 = 516,192.48 : x
  2. Step 2: Convert to fraction form
    802,175.40/1,107,505.38 = 516,192.48/x
  3. Step 3: Cross multiply
    802,175.40x = 1,107,505.38 × 516,192.48
  4. Step 4: Simplify right side
    802,175.40x = 571,685,948,715.54
  5. Step 5: Solve for x
    x = 571,685,948,715.54/802,175.40
  6. Step 6: Final answer
    x = 712,669.51

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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.