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Finding the Fourth Proportional to 465,279.80, 698,049.30 and 228,630.20

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Solution

The fourth proportional to 465,279.80, 698,049.30 and 228,630.20 is: 343,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,279.80 : 698,049.30 = 228,630.20 : x
  2. Step 2: Convert to fraction form
    465,279.80/698,049.30 = 228,630.20/x
  3. Step 3: Cross multiply
    465,279.80x = 698,049.30 × 228,630.20
  4. Step 4: Simplify right side
    465,279.80x = 159,595,151,068.86
  5. Step 5: Solve for x
    x = 159,595,151,068.86/465,279.80
  6. Step 6: Final answer
    x = 343,008.98

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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.