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Finding the Fourth Proportional to 474,278.58, 711,454.92 and 137,324.25

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Solution

The fourth proportional to 474,278.58, 711,454.92 and 137,324.25 is: 205,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,278.58 : 711,454.92 = 137,324.25 : x
  2. Step 2: Convert to fraction form
    474,278.58/711,454.92 = 137,324.25/x
  3. Step 3: Cross multiply
    474,278.58x = 711,454.92 × 137,324.25
  4. Step 4: Simplify right side
    474,278.58x = 97,700,013,297.81
  5. Step 5: Solve for x
    x = 97,700,013,297.81/474,278.58
  6. Step 6: Final answer
    x = 205,997.10

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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.