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Finding the Fourth Proportional to 517,227.12, 775,869.84 and 162,233.28

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Solution

The fourth proportional to 517,227.12, 775,869.84 and 162,233.28 is: 243,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,227.12 : 775,869.84 = 162,233.28 : x
  2. Step 2: Convert to fraction form
    517,227.12/775,869.84 = 162,233.28/x
  3. Step 3: Cross multiply
    517,227.12x = 775,869.84 × 162,233.28
  4. Step 4: Simplify right side
    517,227.12x = 125,871,908,996.28
  5. Step 5: Solve for x
    x = 125,871,908,996.28/517,227.12
  6. Step 6: Final answer
    x = 243,359.07

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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.