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Finding the Fourth Proportional to 576,002.90, 864,004.35 and 408,041.30

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Solution

The fourth proportional to 576,002.90, 864,004.35 and 408,041.30 is: 612,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,002.90 : 864,004.35 = 408,041.30 : x
  2. Step 2: Convert to fraction form
    576,002.90/864,004.35 = 408,041.30/x
  3. Step 3: Cross multiply
    576,002.90x = 864,004.35 × 408,041.30
  4. Step 4: Simplify right side
    576,002.90x = 352,549,458,179.66
  5. Step 5: Solve for x
    x = 352,549,458,179.66/576,002.90
  6. Step 6: Final answer
    x = 612,061.95

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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.