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Finding the Fourth Proportional to 576,209.70, 864,314.55 and 546,685.20

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Solution

The fourth proportional to 576,209.70, 864,314.55 and 546,685.20 is: 820,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,209.70 : 864,314.55 = 546,685.20 : x
  2. Step 2: Convert to fraction form
    576,209.70/864,314.55 = 546,685.20/x
  3. Step 3: Cross multiply
    576,209.70x = 864,314.55 × 546,685.20
  4. Step 4: Simplify right side
    576,209.70x = 472,507,972,629.66
  5. Step 5: Solve for x
    x = 472,507,972,629.66/576,209.70
  6. Step 6: Final answer
    x = 820,027.80

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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.