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Finding the Fourth Proportional to 257,627.60, 386,441.40 and 70,638.80

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Solution

The fourth proportional to 257,627.60, 386,441.40 and 70,638.80 is: 105,958.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,627.60 : 386,441.40 = 70,638.80 : x
  2. Step 2: Convert to fraction form
    257,627.60/386,441.40 = 70,638.80/x
  3. Step 3: Cross multiply
    257,627.60x = 386,441.40 × 70,638.80
  4. Step 4: Simplify right side
    257,627.60x = 27,297,756,766.32
  5. Step 5: Solve for x
    x = 27,297,756,766.32/257,627.60
  6. Step 6: Final answer
    x = 105,958.20

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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.