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Finding the Fourth Proportional to 561,778.47, 775,254.38 and 307,129.73

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Solution

The fourth proportional to 561,778.47, 775,254.38 and 307,129.73 is: 423,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,778.47 : 775,254.38 = 307,129.73 : x
  2. Step 2: Convert to fraction form
    561,778.47/775,254.38 = 307,129.73/x
  3. Step 3: Cross multiply
    561,778.47x = 775,254.38 × 307,129.73
  4. Step 4: Simplify right side
    561,778.47x = 238,103,662,998.80
  5. Step 5: Solve for x
    x = 238,103,662,998.80/561,778.47
  6. Step 6: Final answer
    x = 423,839.07

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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.