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Finding the Fourth Proportional to 484,672.40, 727,113.46 and 147,704.14

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Solution

The fourth proportional to 484,672.40, 727,113.46 and 147,704.14 is: 221,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,672.40 : 727,113.46 = 147,704.14 : x
  2. Step 2: Convert to fraction form
    484,672.40/727,113.46 = 147,704.14/x
  3. Step 3: Cross multiply
    484,672.40x = 727,113.46 × 147,704.14
  4. Step 4: Simplify right side
    484,672.40x = 107,397,668,291.72
  5. Step 5: Solve for x
    x = 107,397,668,291.72/484,672.40
  6. Step 6: Final answer
    x = 221,588.17

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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.