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Finding the Fourth Proportional to 314,793.86, 472,330.16 and 164,998.53

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Solution

The fourth proportional to 314,793.86, 472,330.16 and 164,998.53 is: 247,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,793.86 : 472,330.16 = 164,998.53 : x
  2. Step 2: Convert to fraction form
    314,793.86/472,330.16 = 164,998.53/x
  3. Step 3: Cross multiply
    314,793.86x = 472,330.16 × 164,998.53
  4. Step 4: Simplify right side
    314,793.86x = 77,933,781,249.67
  5. Step 5: Solve for x
    x = 77,933,781,249.67/314,793.86
  6. Step 6: Final answer
    x = 247,570.85

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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.