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Finding the Fourth Proportional to 456,125.20, 684,333.60 and 156,797.80

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Solution

The fourth proportional to 456,125.20, 684,333.60 and 156,797.80 is: 235,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,125.20 : 684,333.60 = 156,797.80 : x
  2. Step 2: Convert to fraction form
    456,125.20/684,333.60 = 156,797.80/x
  3. Step 3: Cross multiply
    456,125.20x = 684,333.60 × 156,797.80
  4. Step 4: Simplify right side
    456,125.20x = 107,302,002,946.08
  5. Step 5: Solve for x
    x = 107,302,002,946.08/456,125.20
  6. Step 6: Final answer
    x = 235,246.82

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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.