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Finding the Fourth Proportional to 576,019.20, 864,028.80 and 542,776.80

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Solution

The fourth proportional to 576,019.20, 864,028.80 and 542,776.80 is: 814,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,019.20 : 864,028.80 = 542,776.80 : x
  2. Step 2: Convert to fraction form
    576,019.20/864,028.80 = 542,776.80/x
  3. Step 3: Cross multiply
    576,019.20x = 864,028.80 × 542,776.80
  4. Step 4: Simplify right side
    576,019.20x = 468,974,787,171.84
  5. Step 5: Solve for x
    x = 468,974,787,171.84/576,019.20
  6. Step 6: Final answer
    x = 814,165.20

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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.