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Finding the Fourth Proportional to 456,402.80, 684,649.82 and 156,843.95

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Solution

The fourth proportional to 456,402.80, 684,649.82 and 156,843.95 is: 235,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,402.80 : 684,649.82 = 156,843.95 : x
  2. Step 2: Convert to fraction form
    456,402.80/684,649.82 = 156,843.95/x
  3. Step 3: Cross multiply
    456,402.80x = 684,649.82 × 156,843.95
  4. Step 4: Simplify right side
    456,402.80x = 107,383,179,104.45
  5. Step 5: Solve for x
    x = 107,383,179,104.45/456,402.80
  6. Step 6: Final answer
    x = 235,281.59

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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.