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Finding the Fourth Proportional to 403,863.40, 605,823.90 and 123,380.20

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Solution

The fourth proportional to 403,863.40, 605,823.90 and 123,380.20 is: 185,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,863.40 : 605,823.90 = 123,380.20 : x
  2. Step 2: Convert to fraction form
    403,863.40/605,823.90 = 123,380.20/x
  3. Step 3: Cross multiply
    403,863.40x = 605,823.90 × 123,380.20
  4. Step 4: Simplify right side
    403,863.40x = 74,746,673,946.78
  5. Step 5: Solve for x
    x = 74,746,673,946.78/403,863.40
  6. Step 6: Final answer
    x = 185,079.10

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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.