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Finding the Fourth Proportional to 732,449, 1,098,680.34 and 259,214.60

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Solution

The fourth proportional to 732,449, 1,098,680.34 and 259,214.60 is: 388,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,449 : 1,098,680.34 = 259,214.60 : x
  2. Step 2: Convert to fraction form
    732,449/1,098,680.34 = 259,214.60/x
  3. Step 3: Cross multiply
    732,449x = 1,098,680.34 × 259,214.60
  4. Step 4: Simplify right side
    732,449x = 284,793,984,860.96
  5. Step 5: Solve for x
    x = 284,793,984,860.96/732,449
  6. Step 6: Final answer
    x = 388,824.32

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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.