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Finding the Fourth Proportional to 614,791.84, 922,268.40 and 240,766.24

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Solution

The fourth proportional to 614,791.84, 922,268.40 and 240,766.24 is: 361,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,791.84 : 922,268.40 = 240,766.24 : x
  2. Step 2: Convert to fraction form
    614,791.84/922,268.40 = 240,766.24/x
  3. Step 3: Cross multiply
    614,791.84x = 922,268.40 × 240,766.24
  4. Step 4: Simplify right side
    614,791.84x = 222,051,094,938.82
  5. Step 5: Solve for x
    x = 222,051,094,938.82/614,791.84
  6. Step 6: Final answer
    x = 361,180.94

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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.