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Finding the Fourth Proportional to 399,565.21, 599,584.27 and 147,023.04

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Solution

The fourth proportional to 399,565.21, 599,584.27 and 147,023.04 is: 220,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,565.21 : 599,584.27 = 147,023.04 : x
  2. Step 2: Convert to fraction form
    399,565.21/599,584.27 = 147,023.04/x
  3. Step 3: Cross multiply
    399,565.21x = 599,584.27 × 147,023.04
  4. Step 4: Simplify right side
    399,565.21x = 88,152,702,295.36
  5. Step 5: Solve for x
    x = 88,152,702,295.36/399,565.21
  6. Step 6: Final answer
    x = 220,621.57

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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.