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Finding the Fourth Proportional to 382,163.04, 527,393.16 and 212,393.52

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Solution

The fourth proportional to 382,163.04, 527,393.16 and 212,393.52 is: 293,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,163.04 : 527,393.16 = 212,393.52 : x
  2. Step 2: Convert to fraction form
    382,163.04/527,393.16 = 212,393.52/x
  3. Step 3: Cross multiply
    382,163.04x = 527,393.16 × 212,393.52
  4. Step 4: Simplify right side
    382,163.04x = 112,014,889,676.32
  5. Step 5: Solve for x
    x = 112,014,889,676.32/382,163.04
  6. Step 6: Final answer
    x = 293,107.60

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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.