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Finding the Fourth Proportional to 397,453.82, 596,167.02 and 113,146.11

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Solution

The fourth proportional to 397,453.82, 596,167.02 and 113,146.11 is: 169,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,453.82 : 596,167.02 = 113,146.11 : x
  2. Step 2: Convert to fraction form
    397,453.82/596,167.02 = 113,146.11/x
  3. Step 3: Cross multiply
    397,453.82x = 596,167.02 × 113,146.11
  4. Step 4: Simplify right side
    397,453.82x = 67,453,979,223.29
  5. Step 5: Solve for x
    x = 67,453,979,223.29/397,453.82
  6. Step 6: Final answer
    x = 169,715.26

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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.