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Finding the Fourth Proportional to 413,438.40, 620,011.80 and 147,207.60

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Solution

The fourth proportional to 413,438.40, 620,011.80 and 147,207.60 is: 220,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,438.40 : 620,011.80 = 147,207.60 : x
  2. Step 2: Convert to fraction form
    413,438.40/620,011.80 = 147,207.60/x
  3. Step 3: Cross multiply
    413,438.40x = 620,011.80 × 147,207.60
  4. Step 4: Simplify right side
    413,438.40x = 91,270,449,049.68
  5. Step 5: Solve for x
    x = 91,270,449,049.68/413,438.40
  6. Step 6: Final answer
    x = 220,759.49

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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.