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Finding the Fourth Proportional to 362,103, 499,669.12 and 214,902.46

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Solution

The fourth proportional to 362,103, 499,669.12 and 214,902.46 is: 296,545.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,103 : 499,669.12 = 214,902.46 : x
  2. Step 2: Convert to fraction form
    362,103/499,669.12 = 214,902.46/x
  3. Step 3: Cross multiply
    362,103x = 499,669.12 × 214,902.46
  4. Step 4: Simplify right side
    362,103x = 107,380,123,074.04
  5. Step 5: Solve for x
    x = 107,380,123,074.04/362,103
  6. Step 6: Final answer
    x = 296,545.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.