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Finding the Fourth Proportional to 338,966.84, 508,257.56 and 262,002.60

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Solution

The fourth proportional to 338,966.84, 508,257.56 and 262,002.60 is: 392,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,966.84 : 508,257.56 = 262,002.60 : x
  2. Step 2: Convert to fraction form
    338,966.84/508,257.56 = 262,002.60/x
  3. Step 3: Cross multiply
    338,966.84x = 508,257.56 × 262,002.60
  4. Step 4: Simplify right side
    338,966.84x = 133,164,800,879.64
  5. Step 5: Solve for x
    x = 133,164,800,879.64/338,966.84
  6. Step 6: Final answer
    x = 392,854.96

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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.