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Finding the Fourth Proportional to 374,456.80, 561,685.20 and 137,807.20

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Solution

The fourth proportional to 374,456.80, 561,685.20 and 137,807.20 is: 206,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,456.80 : 561,685.20 = 137,807.20 : x
  2. Step 2: Convert to fraction form
    374,456.80/561,685.20 = 137,807.20/x
  3. Step 3: Cross multiply
    374,456.80x = 561,685.20 × 137,807.20
  4. Step 4: Simplify right side
    374,456.80x = 77,404,264,693.44
  5. Step 5: Solve for x
    x = 77,404,264,693.44/374,456.80
  6. Step 6: Final answer
    x = 206,710.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.