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Finding the Fourth Proportional to 224,686.31, 309,924.71 and 170,853.30

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Solution

The fourth proportional to 224,686.31, 309,924.71 and 170,853.30 is: 235,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,686.31 : 309,924.71 = 170,853.30 : x
  2. Step 2: Convert to fraction form
    224,686.31/309,924.71 = 170,853.30/x
  3. Step 3: Cross multiply
    224,686.31x = 309,924.71 × 170,853.30
  4. Step 4: Simplify right side
    224,686.31x = 52,951,659,455.04
  5. Step 5: Solve for x
    x = 52,951,659,455.04/224,686.31
  6. Step 6: Final answer
    x = 235,669.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.