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Finding the Fourth Proportional to 614,792.84, 922,269.90 and 240,767.24

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Solution

The fourth proportional to 614,792.84, 922,269.90 and 240,767.24 is: 361,182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,792.84 : 922,269.90 = 240,767.24 : x
  2. Step 2: Convert to fraction form
    614,792.84/922,269.90 = 240,767.24/x
  3. Step 3: Cross multiply
    614,792.84x = 922,269.90 × 240,767.24
  4. Step 4: Simplify right side
    614,792.84x = 222,052,378,358.08
  5. Step 5: Solve for x
    x = 222,052,378,358.08/614,792.84
  6. Step 6: Final answer
    x = 361,182.44

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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.