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Finding the Fourth Proportional to 501,811.20, 752,824.80 and 146,797.92

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Solution

The fourth proportional to 501,811.20, 752,824.80 and 146,797.92 is: 220,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,811.20 : 752,824.80 = 146,797.92 : x
  2. Step 2: Convert to fraction form
    501,811.20/752,824.80 = 146,797.92/x
  3. Step 3: Cross multiply
    501,811.20x = 752,824.80 × 146,797.92
  4. Step 4: Simplify right side
    501,811.20x = 110,513,114,764.42
  5. Step 5: Solve for x
    x = 110,513,114,764.42/501,811.20
  6. Step 6: Final answer
    x = 220,228.47

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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.