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Finding the Fourth Proportional to 285,446.80, 428,069.40 and 98,414.80

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Solution

The fourth proportional to 285,446.80, 428,069.40 and 98,414.80 is: 147,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,446.80 : 428,069.40 = 98,414.80 : x
  2. Step 2: Convert to fraction form
    285,446.80/428,069.40 = 98,414.80/x
  3. Step 3: Cross multiply
    285,446.80x = 428,069.40 × 98,414.80
  4. Step 4: Simplify right side
    285,446.80x = 42,128,364,387.12
  5. Step 5: Solve for x
    x = 42,128,364,387.12/285,446.80
  6. Step 6: Final answer
    x = 147,587.45

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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.