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Finding the Fourth Proportional to 280,105.20, 420,157.80 and 230,897.70

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Solution

The fourth proportional to 280,105.20, 420,157.80 and 230,897.70 is: 346,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,105.20 : 420,157.80 = 230,897.70 : x
  2. Step 2: Convert to fraction form
    280,105.20/420,157.80 = 230,897.70/x
  3. Step 3: Cross multiply
    280,105.20x = 420,157.80 × 230,897.70
  4. Step 4: Simplify right side
    280,105.20x = 97,013,469,657.06
  5. Step 5: Solve for x
    x = 97,013,469,657.06/280,105.20
  6. Step 6: Final answer
    x = 346,346.55

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1.5x scale

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.