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Finding the Fourth Proportional to 613,908.30, 920,862.45 and 282,132.30

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Solution

The fourth proportional to 613,908.30, 920,862.45 and 282,132.30 is: 423,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,908.30 : 920,862.45 = 282,132.30 : x
  2. Step 2: Convert to fraction form
    613,908.30/920,862.45 = 282,132.30/x
  3. Step 3: Cross multiply
    613,908.30x = 920,862.45 × 282,132.30
  4. Step 4: Simplify right side
    613,908.30x = 259,805,041,002.14
  5. Step 5: Solve for x
    x = 259,805,041,002.14/613,908.30
  6. Step 6: Final answer
    x = 423,198.45

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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.