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Finding the Fourth Proportional to 632,494.61, 947,856.15 and 332,525.69

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Solution

The fourth proportional to 632,494.61, 947,856.15 and 332,525.69 is: 498,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,494.61 : 947,856.15 = 332,525.69 : x
  2. Step 2: Convert to fraction form
    632,494.61/947,856.15 = 332,525.69/x
  3. Step 3: Cross multiply
    632,494.61x = 947,856.15 × 332,525.69
  4. Step 4: Simplify right side
    632,494.61x = 315,186,515,560.21
  5. Step 5: Solve for x
    x = 315,186,515,560.21/632,494.61
  6. Step 6: Final answer
    x = 498,322.85

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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.