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Finding the Fourth Proportional to 491,769.80, 735,905.10 and 341,304.20

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Solution

The fourth proportional to 491,769.80, 735,905.10 and 341,304.20 is: 510,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,769.80 : 735,905.10 = 341,304.20 : x
  2. Step 2: Convert to fraction form
    491,769.80/735,905.10 = 341,304.20/x
  3. Step 3: Cross multiply
    491,769.80x = 735,905.10 × 341,304.20
  4. Step 4: Simplify right side
    491,769.80x = 251,167,501,431.42
  5. Step 5: Solve for x
    x = 251,167,501,431.42/491,769.80
  6. Step 6: Final answer
    x = 510,742.02

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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.