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Finding the Fourth Proportional to 314,989.44, 472,575.42 and 101,789.88

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Solution

The fourth proportional to 314,989.44, 472,575.42 and 101,789.88 is: 152,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,989.44 : 472,575.42 = 101,789.88 : x
  2. Step 2: Convert to fraction form
    314,989.44/472,575.42 = 101,789.88/x
  3. Step 3: Cross multiply
    314,989.44x = 472,575.42 × 101,789.88
  4. Step 4: Simplify right side
    314,989.44x = 48,103,395,292.75
  5. Step 5: Solve for x
    x = 48,103,395,292.75/314,989.44
  6. Step 6: Final answer
    x = 152,714.31

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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.