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Finding the Fourth Proportional to 316,759.20, 474,476.40 and 148,423.20

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Solution

The fourth proportional to 316,759.20, 474,476.40 and 148,423.20 is: 222,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,759.20 : 474,476.40 = 148,423.20 : x
  2. Step 2: Convert to fraction form
    316,759.20/474,476.40 = 148,423.20/x
  3. Step 3: Cross multiply
    316,759.20x = 474,476.40 × 148,423.20
  4. Step 4: Simplify right side
    316,759.20x = 70,423,305,612.48
  5. Step 5: Solve for x
    x = 70,423,305,612.48/316,759.20
  6. Step 6: Final answer
    x = 222,324.42

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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.