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Finding the Fourth Proportional to 616,118.13, 850,233.65 and 344,189.93

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Solution

The fourth proportional to 616,118.13, 850,233.65 and 344,189.93 is: 474,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,118.13 : 850,233.65 = 344,189.93 : x
  2. Step 2: Convert to fraction form
    616,118.13/850,233.65 = 344,189.93/x
  3. Step 3: Cross multiply
    616,118.13x = 850,233.65 × 344,189.93
  4. Step 4: Simplify right side
    616,118.13x = 292,641,854,505.03
  5. Step 5: Solve for x
    x = 292,641,854,505.03/616,118.13
  6. Step 6: Final answer
    x = 474,976.86

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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.