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Finding the Fourth Proportional to 317,503.14, 475,614.92 and 210,947.10

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Solution

The fourth proportional to 317,503.14, 475,614.92 and 210,947.10 is: 315,995.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,503.14 : 475,614.92 = 210,947.10 : x
  2. Step 2: Convert to fraction form
    317,503.14/475,614.92 = 210,947.10/x
  3. Step 3: Cross multiply
    317,503.14x = 475,614.92 × 210,947.10
  4. Step 4: Simplify right side
    317,503.14x = 100,329,588,090.73
  5. Step 5: Solve for x
    x = 100,329,588,090.73/317,503.14
  6. Step 6: Final answer
    x = 315,995.58

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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.