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Finding the Fourth Proportional to 382,337.76, 527,624.88 and 212,571.84

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Solution

The fourth proportional to 382,337.76, 527,624.88 and 212,571.84 is: 293,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,337.76 : 527,624.88 = 212,571.84 : x
  2. Step 2: Convert to fraction form
    382,337.76/527,624.88 = 212,571.84/x
  3. Step 3: Cross multiply
    382,337.76x = 527,624.88 × 212,571.84
  4. Step 4: Simplify right side
    382,337.76x = 112,158,191,571.38
  5. Step 5: Solve for x
    x = 112,158,191,571.38/382,337.76
  6. Step 6: Final answer
    x = 293,348.46

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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.