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Finding the Fourth Proportional to 732,448, 1,098,678.84 and 259,213.60

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Solution

The fourth proportional to 732,448, 1,098,678.84 and 259,213.60 is: 388,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,448 : 1,098,678.84 = 259,213.60 : x
  2. Step 2: Convert to fraction form
    732,448/1,098,678.84 = 259,213.60/x
  3. Step 3: Cross multiply
    732,448x = 1,098,678.84 × 259,213.60
  4. Step 4: Simplify right side
    732,448x = 284,792,497,360.22
  5. Step 5: Solve for x
    x = 284,792,497,360.22/732,448
  6. Step 6: Final answer
    x = 388,822.82

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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.