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Finding the Fourth Proportional to 456,102.70, 684,299.85 and 156,775.30

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Solution

The fourth proportional to 456,102.70, 684,299.85 and 156,775.30 is: 235,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,102.70 : 684,299.85 = 156,775.30 : x
  2. Step 2: Convert to fraction form
    456,102.70/684,299.85 = 156,775.30/x
  3. Step 3: Cross multiply
    456,102.70x = 684,299.85 × 156,775.30
  4. Step 4: Simplify right side
    456,102.70x = 107,281,314,273.71
  5. Step 5: Solve for x
    x = 107,281,314,273.71/456,102.70
  6. Step 6: Final answer
    x = 235,213.07

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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.