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Finding the Fourth Proportional to 511,097.80, 766,646.70 and 411,452.61

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Solution

The fourth proportional to 511,097.80, 766,646.70 and 411,452.61 is: 617,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,097.80 : 766,646.70 = 411,452.61 : x
  2. Step 2: Convert to fraction form
    511,097.80/766,646.70 = 411,452.61/x
  3. Step 3: Cross multiply
    511,097.80x = 766,646.70 × 411,452.61
  4. Step 4: Simplify right side
    511,097.80x = 315,438,787,579.50
  5. Step 5: Solve for x
    x = 315,438,787,579.50/511,097.80
  6. Step 6: Final answer
    x = 617,178.92

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Similar ratio
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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.