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Finding the Fourth Proportional to 262,421.28, 361,722.24 and 177,390.72

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Solution

The fourth proportional to 262,421.28, 361,722.24 and 177,390.72 is: 244,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,421.28 : 361,722.24 = 177,390.72 : x
  2. Step 2: Convert to fraction form
    262,421.28/361,722.24 = 177,390.72/x
  3. Step 3: Cross multiply
    262,421.28x = 361,722.24 × 177,390.72
  4. Step 4: Simplify right side
    262,421.28x = 64,166,168,593.61
  5. Step 5: Solve for x
    x = 64,166,168,593.61/262,421.28
  6. Step 6: Final answer
    x = 244,515.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.