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Finding the Fourth Proportional to 317,173.42, 475,686.50 and 189,125.46

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Solution

The fourth proportional to 317,173.42, 475,686.50 and 189,125.46 is: 283,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,173.42 : 475,686.50 = 189,125.46 : x
  2. Step 2: Convert to fraction form
    317,173.42/475,686.50 = 189,125.46/x
  3. Step 3: Cross multiply
    317,173.42x = 475,686.50 × 189,125.46
  4. Step 4: Simplify right side
    317,173.42x = 89,964,427,182.66
  5. Step 5: Solve for x
    x = 89,964,427,182.66/317,173.42
  6. Step 6: Final answer
    x = 283,644.28

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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.