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Finding the Fourth Proportional to 632,652.30, 947,596.05 and 491,301.90

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Solution

The fourth proportional to 632,652.30, 947,596.05 and 491,301.90 is: 735,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,652.30 : 947,596.05 = 491,301.90 : x
  2. Step 2: Convert to fraction form
    632,652.30/947,596.05 = 491,301.90/x
  3. Step 3: Cross multiply
    632,652.30x = 947,596.05 × 491,301.90
  4. Step 4: Simplify right side
    632,652.30x = 465,555,739,797.50
  5. Step 5: Solve for x
    x = 465,555,739,797.50/632,652.30
  6. Step 6: Final answer
    x = 735,879.31

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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.