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Finding the Fourth Proportional to 472,717, 709,081.68 and 157,173.91

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Solution

The fourth proportional to 472,717, 709,081.68 and 157,173.91 is: 235,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,717 : 709,081.68 = 157,173.91 : x
  2. Step 2: Convert to fraction form
    472,717/709,081.68 = 157,173.91/x
  3. Step 3: Cross multiply
    472,717x = 709,081.68 × 157,173.91
  4. Step 4: Simplify right side
    472,717x = 111,449,135,823.69
  5. Step 5: Solve for x
    x = 111,449,135,823.69/472,717
  6. Step 6: Final answer
    x = 235,762.91

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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.