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Finding the Fourth Proportional to 632,778, 949,178.88 and 295,726.20

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Solution

The fourth proportional to 632,778, 949,178.88 and 295,726.20 is: 443,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,778 : 949,178.88 = 295,726.20 : x
  2. Step 2: Convert to fraction form
    632,778/949,178.88 = 295,726.20/x
  3. Step 3: Cross multiply
    632,778x = 949,178.88 × 295,726.20
  4. Step 4: Simplify right side
    632,778x = 280,697,063,302.66
  5. Step 5: Solve for x
    x = 280,697,063,302.66/632,778
  6. Step 6: Final answer
    x = 443,594.85

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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.