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Finding the Fourth Proportional to 456,100.70, 684,296.85 and 156,773.30

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Solution

The fourth proportional to 456,100.70, 684,296.85 and 156,773.30 is: 235,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,100.70 : 684,296.85 = 156,773.30 : x
  2. Step 2: Convert to fraction form
    456,100.70/684,296.85 = 156,773.30/x
  3. Step 3: Cross multiply
    456,100.70x = 684,296.85 × 156,773.30
  4. Step 4: Simplify right side
    456,100.70x = 107,279,475,354.11
  5. Step 5: Solve for x
    x = 107,279,475,354.11/456,100.70
  6. Step 6: Final answer
    x = 235,210.07

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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.