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Finding the Fourth Proportional to 314,796.96, 472,334.90 and 165,001.64

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Solution

The fourth proportional to 314,796.96, 472,334.90 and 165,001.64 is: 247,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,796.96 : 472,334.90 = 165,001.64 : x
  2. Step 2: Convert to fraction form
    314,796.96/472,334.90 = 165,001.64/x
  3. Step 3: Cross multiply
    314,796.96x = 472,334.90 × 165,001.64
  4. Step 4: Simplify right side
    314,796.96x = 77,936,029,942.55
  5. Step 5: Solve for x
    x = 77,936,029,942.55/314,796.96
  6. Step 6: Final answer
    x = 247,575.55

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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.