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Finding the Fourth Proportional to 576,063.20, 864,094.80 and 542,820.80

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Solution

The fourth proportional to 576,063.20, 864,094.80 and 542,820.80 is: 814,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,063.20 : 864,094.80 = 542,820.80 : x
  2. Step 2: Convert to fraction form
    576,063.20/864,094.80 = 542,820.80/x
  3. Step 3: Cross multiply
    576,063.20x = 864,094.80 × 542,820.80
  4. Step 4: Simplify right side
    576,063.20x = 469,048,630,611.84
  5. Step 5: Solve for x
    x = 469,048,630,611.84/576,063.20
  6. Step 6: Final answer
    x = 814,231.20

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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.