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Finding the Fourth Proportional to 385,876.14, 532,216.32 and 338,046.48

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Solution

The fourth proportional to 385,876.14, 532,216.32 and 338,046.48 is: 466,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,876.14 : 532,216.32 = 338,046.48 : x
  2. Step 2: Convert to fraction form
    385,876.14/532,216.32 = 338,046.48/x
  3. Step 3: Cross multiply
    385,876.14x = 532,216.32 × 338,046.48
  4. Step 4: Simplify right side
    385,876.14x = 179,913,853,574.55
  5. Step 5: Solve for x
    x = 179,913,853,574.55/385,876.14
  6. Step 6: Final answer
    x = 466,247.68

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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.