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Finding the Fourth Proportional to 261,177.36, 391,213.08 and 216,698.64

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Solution

The fourth proportional to 261,177.36, 391,213.08 and 216,698.64 is: 324,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,177.36 : 391,213.08 = 216,698.64 : x
  2. Step 2: Convert to fraction form
    261,177.36/391,213.08 = 216,698.64/x
  3. Step 3: Cross multiply
    261,177.36x = 391,213.08 × 216,698.64
  4. Step 4: Simplify right side
    261,177.36x = 84,775,342,386.21
  5. Step 5: Solve for x
    x = 84,775,342,386.21/261,177.36
  6. Step 6: Final answer
    x = 324,589.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.