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Finding the Fourth Proportional to 315,381.60, 472,905.95 and 137,680.56

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Solution

The fourth proportional to 315,381.60, 472,905.95 and 137,680.56 is: 206,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,381.60 : 472,905.95 = 137,680.56 : x
  2. Step 2: Convert to fraction form
    315,381.60/472,905.95 = 137,680.56/x
  3. Step 3: Cross multiply
    315,381.60x = 472,905.95 × 137,680.56
  4. Step 4: Simplify right side
    315,381.60x = 65,109,955,334.93
  5. Step 5: Solve for x
    x = 65,109,955,334.93/315,381.60
  6. Step 6: Final answer
    x = 206,448.17

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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.