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Finding the Fourth Proportional to 382,296.75, 527,570.13 and 212,530.88

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Solution

The fourth proportional to 382,296.75, 527,570.13 and 212,530.88 is: 293,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,296.75 : 527,570.13 = 212,530.88 : x
  2. Step 2: Convert to fraction form
    382,296.75/527,570.13 = 212,530.88/x
  3. Step 3: Cross multiply
    382,296.75x = 527,570.13 × 212,530.88
  4. Step 4: Simplify right side
    382,296.75x = 112,124,941,352.76
  5. Step 5: Solve for x
    x = 112,124,941,352.76/382,296.75
  6. Step 6: Final answer
    x = 293,292.95

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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.