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Finding the Fourth Proportional to 576,002.40, 864,003.60 and 408,040.80

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Solution

The fourth proportional to 576,002.40, 864,003.60 and 408,040.80 is: 612,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,002.40 : 864,003.60 = 408,040.80 : x
  2. Step 2: Convert to fraction form
    576,002.40/864,003.60 = 408,040.80/x
  3. Step 3: Cross multiply
    576,002.40x = 864,003.60 × 408,040.80
  4. Step 4: Simplify right side
    576,002.40x = 352,548,720,146.88
  5. Step 5: Solve for x
    x = 352,548,720,146.88/576,002.40
  6. Step 6: Final answer
    x = 612,061.20

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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.