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Finding the Fourth Proportional to 338,944.48, 508,419.62 and 86,225.20

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Solution

The fourth proportional to 338,944.48, 508,419.62 and 86,225.20 is: 129,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,944.48 : 508,419.62 = 86,225.20 : x
  2. Step 2: Convert to fraction form
    338,944.48/508,419.62 = 86,225.20/x
  3. Step 3: Cross multiply
    338,944.48x = 508,419.62 × 86,225.20
  4. Step 4: Simplify right side
    338,944.48x = 43,838,583,418.42
  5. Step 5: Solve for x
    x = 43,838,583,418.42/338,944.48
  6. Step 6: Final answer
    x = 129,338.54

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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.