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Finding the Fourth Proportional to 632,682.61, 949,023.91 and 277,699.70

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Solution

The fourth proportional to 632,682.61, 949,023.91 and 277,699.70 is: 416,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,682.61 : 949,023.91 = 277,699.70 : x
  2. Step 2: Convert to fraction form
    632,682.61/949,023.91 = 277,699.70/x
  3. Step 3: Cross multiply
    632,682.61x = 949,023.91 × 277,699.70
  4. Step 4: Simplify right side
    632,682.61x = 263,543,655,099.83
  5. Step 5: Solve for x
    x = 263,543,655,099.83/632,682.61
  6. Step 6: Final answer
    x = 416,549.55

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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.