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Finding the Fourth Proportional to 472,716.75, 709,081.30 and 157,173.66

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Solution

The fourth proportional to 472,716.75, 709,081.30 and 157,173.66 is: 235,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,716.75 : 709,081.30 = 157,173.66 : x
  2. Step 2: Convert to fraction form
    472,716.75/709,081.30 = 157,173.66/x
  3. Step 3: Cross multiply
    472,716.75x = 709,081.30 × 157,173.66
  4. Step 4: Simplify right side
    472,716.75x = 111,448,900,695.97
  5. Step 5: Solve for x
    x = 111,448,900,695.97/472,716.75
  6. Step 6: Final answer
    x = 235,762.54

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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.