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Finding the Fourth Proportional to 283,461.38, 391,163.74 and 162,595.07

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Solution

The fourth proportional to 283,461.38, 391,163.74 and 162,595.07 is: 224,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,461.38 : 391,163.74 = 162,595.07 : x
  2. Step 2: Convert to fraction form
    283,461.38/391,163.74 = 162,595.07/x
  3. Step 3: Cross multiply
    283,461.38x = 391,163.74 × 162,595.07
  4. Step 4: Simplify right side
    283,461.38x = 63,601,293,324.46
  5. Step 5: Solve for x
    x = 63,601,293,324.46/283,461.38
  6. Step 6: Final answer
    x = 224,373.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.