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Finding the Fourth Proportional to 584,471.20, 876,447.60 and 269,024.80

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Solution

The fourth proportional to 584,471.20, 876,447.60 and 269,024.80 is: 403,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,471.20 : 876,447.60 = 269,024.80 : x
  2. Step 2: Convert to fraction form
    584,471.20/876,447.60 = 269,024.80/x
  3. Step 3: Cross multiply
    584,471.20x = 876,447.60 × 269,024.80
  4. Step 4: Simplify right side
    584,471.20x = 235,786,140,300.48
  5. Step 5: Solve for x
    x = 235,786,140,300.48/584,471.20
  6. Step 6: Final answer
    x = 403,417.89

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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.