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Finding the Fourth Proportional to 315,098.30, 472,877.85 and 209,882.30

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Solution

The fourth proportional to 315,098.30, 472,877.85 and 209,882.30 is: 314,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,098.30 : 472,877.85 = 209,882.30 : x
  2. Step 2: Convert to fraction form
    315,098.30/472,877.85 = 209,882.30/x
  3. Step 3: Cross multiply
    315,098.30x = 472,877.85 × 209,882.30
  4. Step 4: Simplify right side
    315,098.30x = 99,248,690,777.06
  5. Step 5: Solve for x
    x = 99,248,690,777.06/315,098.30
  6. Step 6: Final answer
    x = 314,976.92

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