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Finding the Fourth Proportional to 471,675.86, 707,624.49 and 156,132.75

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Solution

The fourth proportional to 471,675.86, 707,624.49 and 156,132.75 is: 234,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,675.86 : 707,624.49 = 156,132.75 : x
  2. Step 2: Convert to fraction form
    471,675.86/707,624.49 = 156,132.75/x
  3. Step 3: Cross multiply
    471,675.86x = 707,624.49 × 156,132.75
  4. Step 4: Simplify right side
    471,675.86x = 110,483,357,591.05
  5. Step 5: Solve for x
    x = 110,483,357,591.05/471,675.86
  6. Step 6: Final answer
    x = 234,235.77

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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.