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Finding the Fourth Proportional to 456,097.20, 684,291.60 and 156,769.80

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Solution

The fourth proportional to 456,097.20, 684,291.60 and 156,769.80 is: 235,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,097.20 : 684,291.60 = 156,769.80 : x
  2. Step 2: Convert to fraction form
    456,097.20/684,291.60 = 156,769.80/x
  3. Step 3: Cross multiply
    456,097.20x = 684,291.60 × 156,769.80
  4. Step 4: Simplify right side
    456,097.20x = 107,276,257,273.68
  5. Step 5: Solve for x
    x = 107,276,257,273.68/456,097.20
  6. Step 6: Final answer
    x = 235,204.81

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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.