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Finding the Fourth Proportional to 340,443.66, 510,187.50 and 269,052.42

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Solution

The fourth proportional to 340,443.66, 510,187.50 and 269,052.42 is: 403,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,443.66 : 510,187.50 = 269,052.42 : x
  2. Step 2: Convert to fraction form
    340,443.66/510,187.50 = 269,052.42/x
  3. Step 3: Cross multiply
    340,443.66x = 510,187.50 × 269,052.42
  4. Step 4: Simplify right side
    340,443.66x = 137,267,181,528.75
  5. Step 5: Solve for x
    x = 137,267,181,528.75/340,443.66
  6. Step 6: Final answer
    x = 403,200.87

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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.