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Finding the Fourth Proportional to 382,065.39, 527,239.12 and 218,716.38

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Solution

The fourth proportional to 382,065.39, 527,239.12 and 218,716.38 is: 301,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,065.39 : 527,239.12 = 218,716.38 : x
  2. Step 2: Convert to fraction form
    382,065.39/527,239.12 = 218,716.38/x
  3. Step 3: Cross multiply
    382,065.39x = 527,239.12 × 218,716.38
  4. Step 4: Simplify right side
    382,065.39x = 115,315,833,971.33
  5. Step 5: Solve for x
    x = 115,315,833,971.33/382,065.39
  6. Step 6: Final answer
    x = 301,822.24

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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.