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Finding the Fourth Proportional to 441,752.24, 661,319.32 and 272,729.12

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Solution

The fourth proportional to 441,752.24, 661,319.32 and 272,729.12 is: 408,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,752.24 : 661,319.32 = 272,729.12 : x
  2. Step 2: Convert to fraction form
    441,752.24/661,319.32 = 272,729.12/x
  3. Step 3: Cross multiply
    441,752.24x = 661,319.32 × 272,729.12
  4. Step 4: Simplify right side
    441,752.24x = 180,361,036,182.60
  5. Step 5: Solve for x
    x = 180,361,036,182.60/441,752.24
  6. Step 6: Final answer
    x = 408,285.50

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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.