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Finding the Fourth Proportional to 382,422.76, 527,682.34 and 212,658.12

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Solution

The fourth proportional to 382,422.76, 527,682.34 and 212,658.12 is: 293,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,422.76 : 527,682.34 = 212,658.12 : x
  2. Step 2: Convert to fraction form
    382,422.76/527,682.34 = 212,658.12/x
  3. Step 3: Cross multiply
    382,422.76x = 527,682.34 × 212,658.12
  4. Step 4: Simplify right side
    382,422.76x = 112,215,934,381.60
  5. Step 5: Solve for x
    x = 112,215,934,381.60/382,422.76
  6. Step 6: Final answer
    x = 293,434.25

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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.