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Finding the Fourth Proportional to 492,788.60, 680,046.78 and 266,434.10

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Solution

The fourth proportional to 492,788.60, 680,046.78 and 266,434.10 is: 367,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,788.60 : 680,046.78 = 266,434.10 : x
  2. Step 2: Convert to fraction form
    492,788.60/680,046.78 = 266,434.10/x
  3. Step 3: Cross multiply
    492,788.60x = 680,046.78 × 266,434.10
  4. Step 4: Simplify right side
    492,788.60x = 181,187,651,787.20
  5. Step 5: Solve for x
    x = 181,187,651,787.20/492,788.60
  6. Step 6: Final answer
    x = 367,678.25

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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.