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Finding the Fourth Proportional to 330,320.20, 456,031.02 and 217,471

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Solution

The fourth proportional to 330,320.20, 456,031.02 and 217,471 is: 300,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,320.20 : 456,031.02 = 217,471 : x
  2. Step 2: Convert to fraction form
    330,320.20/456,031.02 = 217,471/x
  3. Step 3: Cross multiply
    330,320.20x = 456,031.02 × 217,471
  4. Step 4: Simplify right side
    330,320.20x = 99,173,521,950.42
  5. Step 5: Solve for x
    x = 99,173,521,950.42/330,320.20
  6. Step 6: Final answer
    x = 300,234.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.