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Finding the Fourth Proportional to 632,451.12, 947,156.49 and 361,758.62

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Solution

The fourth proportional to 632,451.12, 947,156.49 and 361,758.62 is: 541,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,451.12 : 947,156.49 = 361,758.62 : x
  2. Step 2: Convert to fraction form
    632,451.12/947,156.49 = 361,758.62/x
  3. Step 3: Cross multiply
    632,451.12x = 947,156.49 × 361,758.62
  4. Step 4: Simplify right side
    632,451.12x = 342,642,020,010.66
  5. Step 5: Solve for x
    x = 342,642,020,010.66/632,451.12
  6. Step 6: Final answer
    x = 541,768.38

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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.