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Finding the Fourth Proportional to 472,714.94, 709,078.56 and 157,171.84

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Solution

The fourth proportional to 472,714.94, 709,078.56 and 157,171.84 is: 235,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,714.94 : 709,078.56 = 157,171.84 : x
  2. Step 2: Convert to fraction form
    472,714.94/709,078.56 = 157,171.84/x
  3. Step 3: Cross multiply
    472,714.94x = 709,078.56 × 157,171.84
  4. Step 4: Simplify right side
    472,714.94x = 111,447,181,979.75
  5. Step 5: Solve for x
    x = 111,447,181,979.75/472,714.94
  6. Step 6: Final answer
    x = 235,759.80

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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.