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Finding the Fourth Proportional to 335,082.20, 502,712.40 and 145,461.20

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Solution

The fourth proportional to 335,082.20, 502,712.40 and 145,461.20 is: 218,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,082.20 : 502,712.40 = 145,461.20 : x
  2. Step 2: Convert to fraction form
    335,082.20/502,712.40 = 145,461.20/x
  3. Step 3: Cross multiply
    335,082.20x = 502,712.40 × 145,461.20
  4. Step 4: Simplify right side
    335,082.20x = 73,125,148,958.88
  5. Step 5: Solve for x
    x = 73,125,148,958.88/335,082.20
  6. Step 6: Final answer
    x = 218,230.48

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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.