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Finding the Fourth Proportional to 285,399.96, 393,854.80 and 172,200.84

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Solution

The fourth proportional to 285,399.96, 393,854.80 and 172,200.84 is: 237,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,399.96 : 393,854.80 = 172,200.84 : x
  2. Step 2: Convert to fraction form
    285,399.96/393,854.80 = 172,200.84/x
  3. Step 3: Cross multiply
    285,399.96x = 393,854.80 × 172,200.84
  4. Step 4: Simplify right side
    285,399.96x = 67,822,127,398.03
  5. Step 5: Solve for x
    x = 67,822,127,398.03/285,399.96
  6. Step 6: Final answer
    x = 237,638.88

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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.