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Finding the Fourth Proportional to 335,309.40, 502,964.10 and 276,211.80

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Solution

The fourth proportional to 335,309.40, 502,964.10 and 276,211.80 is: 414,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,309.40 : 502,964.10 = 276,211.80 : x
  2. Step 2: Convert to fraction form
    335,309.40/502,964.10 = 276,211.80/x
  3. Step 3: Cross multiply
    335,309.40x = 502,964.10 × 276,211.80
  4. Step 4: Simplify right side
    335,309.40x = 138,924,619,396.38
  5. Step 5: Solve for x
    x = 138,924,619,396.38/335,309.40
  6. Step 6: Final answer
    x = 414,317.70

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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.