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Finding the Fourth Proportional to 456,098.20, 684,293.10 and 156,770.80

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Solution

The fourth proportional to 456,098.20, 684,293.10 and 156,770.80 is: 235,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,098.20 : 684,293.10 = 156,770.80 : x
  2. Step 2: Convert to fraction form
    456,098.20/684,293.10 = 156,770.80/x
  3. Step 3: Cross multiply
    456,098.20x = 684,293.10 × 156,770.80
  4. Step 4: Simplify right side
    456,098.20x = 107,277,176,721.48
  5. Step 5: Solve for x
    x = 107,277,176,721.48/456,098.20
  6. Step 6: Final answer
    x = 235,206.31

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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.