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Finding the Fourth Proportional to 317,162.34, 475,438.41 and 117,428.46

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Solution

The fourth proportional to 317,162.34, 475,438.41 and 117,428.46 is: 176,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,162.34 : 475,438.41 = 117,428.46 : x
  2. Step 2: Convert to fraction form
    317,162.34/475,438.41 = 117,428.46/x
  3. Step 3: Cross multiply
    317,162.34x = 475,438.41 × 117,428.46
  4. Step 4: Simplify right side
    317,162.34x = 55,830,000,311.15
  5. Step 5: Solve for x
    x = 55,830,000,311.15/317,162.34
  6. Step 6: Final answer
    x = 176,029.73

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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.