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Finding the Fourth Proportional to 226,529.52, 314,063.70 and 213,932.40

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Solution

The fourth proportional to 226,529.52, 314,063.70 and 213,932.40 is: 296,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,529.52 : 314,063.70 = 213,932.40 : x
  2. Step 2: Convert to fraction form
    226,529.52/314,063.70 = 213,932.40/x
  3. Step 3: Cross multiply
    226,529.52x = 314,063.70 × 213,932.40
  4. Step 4: Simplify right side
    226,529.52x = 67,188,401,093.88
  5. Step 5: Solve for x
    x = 67,188,401,093.88/226,529.52
  6. Step 6: Final answer
    x = 296,598.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.