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Finding the Fourth Proportional to 382,538.57, 527,903.22 and 210,452.84

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Solution

The fourth proportional to 382,538.57, 527,903.22 and 210,452.84 is: 290,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,538.57 : 527,903.22 = 210,452.84 : x
  2. Step 2: Convert to fraction form
    382,538.57/527,903.22 = 210,452.84/x
  3. Step 3: Cross multiply
    382,538.57x = 527,903.22 × 210,452.84
  4. Step 4: Simplify right side
    382,538.57x = 111,098,729,254.63
  5. Step 5: Solve for x
    x = 111,098,729,254.63/382,538.57
  6. Step 6: Final answer
    x = 290,424.91

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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.