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Finding the Fourth Proportional to 314,835.96, 472,393.52 and 165,040.50

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Solution

The fourth proportional to 314,835.96, 472,393.52 and 165,040.50 is: 247,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,835.96 : 472,393.52 = 165,040.50 : x
  2. Step 2: Convert to fraction form
    314,835.96/472,393.52 = 165,040.50/x
  3. Step 3: Cross multiply
    314,835.96x = 472,393.52 × 165,040.50
  4. Step 4: Simplify right side
    314,835.96x = 77,964,062,737.56
  5. Step 5: Solve for x
    x = 77,964,062,737.56/314,835.96
  6. Step 6: Final answer
    x = 247,633.92

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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.