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Finding the Fourth Proportional to 472,860.91, 709,297.56 and 157,317.82

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Solution

The fourth proportional to 472,860.91, 709,297.56 and 157,317.82 is: 235,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,860.91 : 709,297.56 = 157,317.82 : x
  2. Step 2: Convert to fraction form
    472,860.91/709,297.56 = 157,317.82/x
  3. Step 3: Cross multiply
    472,860.91x = 709,297.56 × 157,317.82
  4. Step 4: Simplify right side
    472,860.91x = 111,585,146,092.18
  5. Step 5: Solve for x
    x = 111,585,146,092.18/472,860.91
  6. Step 6: Final answer
    x = 235,978.79

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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.