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Finding the Fourth Proportional to 315,175.50, 472,767.30 and 104,813.46

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Solution

The fourth proportional to 315,175.50, 472,767.30 and 104,813.46 is: 157,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,175.50 : 472,767.30 = 104,813.46 : x
  2. Step 2: Convert to fraction form
    315,175.50/472,767.30 = 104,813.46/x
  3. Step 3: Cross multiply
    315,175.50x = 472,767.30 × 104,813.46
  4. Step 4: Simplify right side
    315,175.50x = 49,552,376,487.86
  5. Step 5: Solve for x
    x = 49,552,376,487.86/315,175.50
  6. Step 6: Final answer
    x = 157,221.54

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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.