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Finding the Fourth Proportional to 460,748.96, 690,838.32 and 179,936

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Solution

The fourth proportional to 460,748.96, 690,838.32 and 179,936 is: 269,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,748.96 : 690,838.32 = 179,936 : x
  2. Step 2: Convert to fraction form
    460,748.96/690,838.32 = 179,936/x
  3. Step 3: Cross multiply
    460,748.96x = 690,838.32 × 179,936
  4. Step 4: Simplify right side
    460,748.96x = 124,306,683,947.52
  5. Step 5: Solve for x
    x = 124,306,683,947.52/460,748.96
  6. Step 6: Final answer
    x = 269,792.65

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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.