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Finding the Fourth Proportional to 456,155.60, 684,233.40 and 231,429.20

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Solution

The fourth proportional to 456,155.60, 684,233.40 and 231,429.20 is: 347,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,155.60 : 684,233.40 = 231,429.20 : x
  2. Step 2: Convert to fraction form
    456,155.60/684,233.40 = 231,429.20/x
  3. Step 3: Cross multiply
    456,155.60x = 684,233.40 × 231,429.20
  4. Step 4: Simplify right side
    456,155.60x = 158,351,588,375.28
  5. Step 5: Solve for x
    x = 158,351,588,375.28/456,155.60
  6. Step 6: Final answer
    x = 347,143.80

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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.