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Finding the Fourth Proportional to 542,854.80, 814,282.20 and 454,937.40

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Solution

The fourth proportional to 542,854.80, 814,282.20 and 454,937.40 is: 682,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,854.80 : 814,282.20 = 454,937.40 : x
  2. Step 2: Convert to fraction form
    542,854.80/814,282.20 = 454,937.40/x
  3. Step 3: Cross multiply
    542,854.80x = 814,282.20 × 454,937.40
  4. Step 4: Simplify right side
    542,854.80x = 370,447,426,934.28
  5. Step 5: Solve for x
    x = 370,447,426,934.28/542,854.80
  6. Step 6: Final answer
    x = 682,406.10

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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.