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Finding the Fourth Proportional to 484,334.16, 726,611.80 and 147,422.56

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Solution

The fourth proportional to 484,334.16, 726,611.80 and 147,422.56 is: 221,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,334.16 : 726,611.80 = 147,422.56 : x
  2. Step 2: Convert to fraction form
    484,334.16/726,611.80 = 147,422.56/x
  3. Step 3: Cross multiply
    484,334.16x = 726,611.80 × 147,422.56
  4. Step 4: Simplify right side
    484,334.16x = 107,118,971,682.21
  5. Step 5: Solve for x
    x = 107,118,971,682.21/484,334.16
  6. Step 6: Final answer
    x = 221,167.49

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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.