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Finding the Fourth Proportional to 338,426.52, 466,978.14 and 209,494.68

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Solution

The fourth proportional to 338,426.52, 466,978.14 and 209,494.68 is: 289,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,426.52 : 466,978.14 = 209,494.68 : x
  2. Step 2: Convert to fraction form
    338,426.52/466,978.14 = 209,494.68/x
  3. Step 3: Cross multiply
    338,426.52x = 466,978.14 × 209,494.68
  4. Step 4: Simplify right side
    338,426.52x = 97,829,436,006.30
  5. Step 5: Solve for x
    x = 97,829,436,006.30/338,426.52
  6. Step 6: Final answer
    x = 289,071.42

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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.