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Finding the Fourth Proportional to 317,410.71, 475,485.44 and 174,902.52

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Solution

The fourth proportional to 317,410.71, 475,485.44 and 174,902.52 is: 262,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,410.71 : 475,485.44 = 174,902.52 : x
  2. Step 2: Convert to fraction form
    317,410.71/475,485.44 = 174,902.52/x
  3. Step 3: Cross multiply
    317,410.71x = 475,485.44 × 174,902.52
  4. Step 4: Simplify right side
    317,410.71x = 83,163,601,679.31
  5. Step 5: Solve for x
    x = 83,163,601,679.31/317,410.71
  6. Step 6: Final answer
    x = 262,006.29

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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.