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Finding the Fourth Proportional to 316,948.76, 475,423.14 and 192,027.32

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Solution

The fourth proportional to 316,948.76, 475,423.14 and 192,027.32 is: 288,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,948.76 : 475,423.14 = 192,027.32 : x
  2. Step 2: Convert to fraction form
    316,948.76/475,423.14 = 192,027.32/x
  3. Step 3: Cross multiply
    316,948.76x = 475,423.14 × 192,027.32
  4. Step 4: Simplify right side
    316,948.76x = 91,294,228,102.93
  5. Step 5: Solve for x
    x = 91,294,228,102.93/316,948.76
  6. Step 6: Final answer
    x = 288,040.97

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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.