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Finding the Fourth Proportional to 532,909.20, 798,683.40 and 217,009.20

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Solution

The fourth proportional to 532,909.20, 798,683.40 and 217,009.20 is: 325,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,909.20 : 798,683.40 = 217,009.20 : x
  2. Step 2: Convert to fraction form
    532,909.20/798,683.40 = 217,009.20/x
  3. Step 3: Cross multiply
    532,909.20x = 798,683.40 × 217,009.20
  4. Step 4: Simplify right side
    532,909.20x = 173,321,645,687.28
  5. Step 5: Solve for x
    x = 173,321,645,687.28/532,909.20
  6. Step 6: Final answer
    x = 325,236.73

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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.