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Finding the Fourth Proportional to 456,332.54, 684,512.78 and 156,808.85

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Solution

The fourth proportional to 456,332.54, 684,512.78 and 156,808.85 is: 235,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,332.54 : 684,512.78 = 156,808.85 : x
  2. Step 2: Convert to fraction form
    456,332.54/684,512.78 = 156,808.85/x
  3. Step 3: Cross multiply
    456,332.54x = 684,512.78 × 156,808.85
  4. Step 4: Simplify right side
    456,332.54x = 107,337,657,635.50
  5. Step 5: Solve for x
    x = 107,337,657,635.50/456,332.54
  6. Step 6: Final answer
    x = 235,218.07

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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.