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Finding the Fourth Proportional to 382,300.25, 527,574.96 and 212,534.38

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Solution

The fourth proportional to 382,300.25, 527,574.96 and 212,534.38 is: 293,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,300.25 : 527,574.96 = 212,534.38 : x
  2. Step 2: Convert to fraction form
    382,300.25/527,574.96 = 212,534.38/x
  3. Step 3: Cross multiply
    382,300.25x = 527,574.96 × 212,534.38
  4. Step 4: Simplify right side
    382,300.25x = 112,127,813,326.58
  5. Step 5: Solve for x
    x = 112,127,813,326.58/382,300.25
  6. Step 6: Final answer
    x = 293,297.78

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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.