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Finding the Fourth Proportional to 276,058.10, 414,524.55 and 201,700.10

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Solution

The fourth proportional to 276,058.10, 414,524.55 and 201,700.10 is: 302,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,058.10 : 414,524.55 = 201,700.10 : x
  2. Step 2: Convert to fraction form
    276,058.10/414,524.55 = 201,700.10/x
  3. Step 3: Cross multiply
    276,058.10x = 414,524.55 × 201,700.10
  4. Step 4: Simplify right side
    276,058.10x = 83,609,643,187.46
  5. Step 5: Solve for x
    x = 83,609,643,187.46/276,058.10
  6. Step 6: Final answer
    x = 302,869.73

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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.