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Finding the Fourth Proportional to 409,898.30, 614,847.45 and 297,049.10

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Solution

The fourth proportional to 409,898.30, 614,847.45 and 297,049.10 is: 445,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898.30 : 614,847.45 = 297,049.10 : x
  2. Step 2: Convert to fraction form
    409,898.30/614,847.45 = 297,049.10/x
  3. Step 3: Cross multiply
    409,898.30x = 614,847.45 × 297,049.10
  4. Step 4: Simplify right side
    409,898.30x = 182,639,881,659.80
  5. Step 5: Solve for x
    x = 182,639,881,659.80/409,898.30
  6. Step 6: Final answer
    x = 445,573.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.