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Finding the Fourth Proportional to 316,746.20, 474,456.90 and 148,410.20

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Solution

The fourth proportional to 316,746.20, 474,456.90 and 148,410.20 is: 222,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,746.20 : 474,456.90 = 148,410.20 : x
  2. Step 2: Convert to fraction form
    316,746.20/474,456.90 = 148,410.20/x
  3. Step 3: Cross multiply
    316,746.20x = 474,456.90 × 148,410.20
  4. Step 4: Simplify right side
    316,746.20x = 70,414,243,420.38
  5. Step 5: Solve for x
    x = 70,414,243,420.38/316,746.20
  6. Step 6: Final answer
    x = 222,304.94

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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.