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Finding the Fourth Proportional to 576,064.70, 864,097.05 and 542,822.30

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Solution

The fourth proportional to 576,064.70, 864,097.05 and 542,822.30 is: 814,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,064.70 : 864,097.05 = 542,822.30 : x
  2. Step 2: Convert to fraction form
    576,064.70/864,097.05 = 542,822.30/x
  3. Step 3: Cross multiply
    576,064.70x = 864,097.05 × 542,822.30
  4. Step 4: Simplify right side
    576,064.70x = 469,051,148,104.22
  5. Step 5: Solve for x
    x = 469,051,148,104.22/576,064.70
  6. Step 6: Final answer
    x = 814,233.45

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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.