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Finding the Fourth Proportional to 338,154.48, 466,647.42 and 187,248.24

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Solution

The fourth proportional to 338,154.48, 466,647.42 and 187,248.24 is: 258,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,154.48 : 466,647.42 = 187,248.24 : x
  2. Step 2: Convert to fraction form
    338,154.48/466,647.42 = 187,248.24/x
  3. Step 3: Cross multiply
    338,154.48x = 466,647.42 × 187,248.24
  4. Step 4: Simplify right side
    338,154.48x = 87,378,908,095.54
  5. Step 5: Solve for x
    x = 87,378,908,095.54/338,154.48
  6. Step 6: Final answer
    x = 258,399.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.