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Finding the Fourth Proportional to 338,324.78, 466,815.53 and 200,547.15

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Solution

The fourth proportional to 338,324.78, 466,815.53 and 200,547.15 is: 276,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,324.78 : 466,815.53 = 200,547.15 : x
  2. Step 2: Convert to fraction form
    338,324.78/466,815.53 = 200,547.15/x
  3. Step 3: Cross multiply
    338,324.78x = 466,815.53 × 200,547.15
  4. Step 4: Simplify right side
    338,324.78x = 93,618,524,618.61
  5. Step 5: Solve for x
    x = 93,618,524,618.61/338,324.78
  6. Step 6: Final answer
    x = 276,711.99

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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.