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Finding the Fourth Proportional to 317,206.82, 475,916.85 and 117,543.29

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Solution

The fourth proportional to 317,206.82, 475,916.85 and 117,543.29 is: 176,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,206.82 : 475,916.85 = 117,543.29 : x
  2. Step 2: Convert to fraction form
    317,206.82/475,916.85 = 117,543.29/x
  3. Step 3: Cross multiply
    317,206.82x = 475,916.85 × 117,543.29
  4. Step 4: Simplify right side
    317,206.82x = 55,940,832,315.44
  5. Step 5: Solve for x
    x = 55,940,832,315.44/317,206.82
  6. Step 6: Final answer
    x = 176,354.44

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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.