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Finding the Fourth Proportional to 314,728.20, 472,092.30 and 146,248.20

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Solution

The fourth proportional to 314,728.20, 472,092.30 and 146,248.20 is: 219,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,728.20 : 472,092.30 = 146,248.20 : x
  2. Step 2: Convert to fraction form
    314,728.20/472,092.30 = 146,248.20/x
  3. Step 3: Cross multiply
    314,728.20x = 472,092.30 × 146,248.20
  4. Step 4: Simplify right side
    314,728.20x = 69,042,649,108.86
  5. Step 5: Solve for x
    x = 69,042,649,108.86/314,728.20
  6. Step 6: Final answer
    x = 219,372.30

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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.