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Finding the Fourth Proportional to 316,910.91, 475,366.23 and 77,023.54

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Solution

The fourth proportional to 316,910.91, 475,366.23 and 77,023.54 is: 115,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,910.91 : 475,366.23 = 77,023.54 : x
  2. Step 2: Convert to fraction form
    316,910.91/475,366.23 = 77,023.54/x
  3. Step 3: Cross multiply
    316,910.91x = 475,366.23 × 77,023.54
  4. Step 4: Simplify right side
    316,910.91x = 36,614,389,831.05
  5. Step 5: Solve for x
    x = 36,614,389,831.05/316,910.91
  6. Step 6: Final answer
    x = 115,535.28

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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.