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Finding the Fourth Proportional to 314,502.54, 471,787.02 and 181,379.85

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Solution

The fourth proportional to 314,502.54, 471,787.02 and 181,379.85 is: 272,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,502.54 : 471,787.02 = 181,379.85 : x
  2. Step 2: Convert to fraction form
    314,502.54/471,787.02 = 181,379.85/x
  3. Step 3: Cross multiply
    314,502.54x = 471,787.02 × 181,379.85
  4. Step 4: Simplify right side
    314,502.54x = 85,572,658,919.55
  5. Step 5: Solve for x
    x = 85,572,658,919.55/314,502.54
  6. Step 6: Final answer
    x = 272,088.93

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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.