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Finding the Fourth Proportional to 465,301.80, 698,082.30 and 228,652.20

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Solution

The fourth proportional to 465,301.80, 698,082.30 and 228,652.20 is: 343,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,301.80 : 698,082.30 = 228,652.20 : x
  2. Step 2: Convert to fraction form
    465,301.80/698,082.30 = 228,652.20/x
  3. Step 3: Cross multiply
    465,301.80x = 698,082.30 × 228,652.20
  4. Step 4: Simplify right side
    465,301.80x = 159,618,053,676.06
  5. Step 5: Solve for x
    x = 159,618,053,676.06/465,301.80
  6. Step 6: Final answer
    x = 343,041.99

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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.