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Finding the Fourth Proportional to 616,970.90, 851,463.24 and 345,064.10

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Solution

The fourth proportional to 616,970.90, 851,463.24 and 345,064.10 is: 476,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,970.90 : 851,463.24 = 345,064.10 : x
  2. Step 2: Convert to fraction form
    616,970.90/851,463.24 = 345,064.10/x
  3. Step 3: Cross multiply
    616,970.90x = 851,463.24 × 345,064.10
  4. Step 4: Simplify right side
    616,970.90x = 293,809,396,593.68
  5. Step 5: Solve for x
    x = 293,809,396,593.68/616,970.90
  6. Step 6: Final answer
    x = 476,212.73

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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.