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Finding the Fourth Proportional to 262,902.84, 362,708.46 and 182,401.80

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Solution

The fourth proportional to 262,902.84, 362,708.46 and 182,401.80 is: 251,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,902.84 : 362,708.46 = 182,401.80 : x
  2. Step 2: Convert to fraction form
    262,902.84/362,708.46 = 182,401.80/x
  3. Step 3: Cross multiply
    262,902.84x = 362,708.46 × 182,401.80
  4. Step 4: Simplify right side
    262,902.84x = 66,158,675,979.23
  5. Step 5: Solve for x
    x = 66,158,675,979.23/262,902.84
  6. Step 6: Final answer
    x = 251,646.87

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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.