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Finding the Fourth Proportional to 496,738.80, 744,690.24 and 216,044.64

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Solution

The fourth proportional to 496,738.80, 744,690.24 and 216,044.64 is: 323,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,738.80 : 744,690.24 = 216,044.64 : x
  2. Step 2: Convert to fraction form
    496,738.80/744,690.24 = 216,044.64/x
  3. Step 3: Cross multiply
    496,738.80x = 744,690.24 × 216,044.64
  4. Step 4: Simplify right side
    496,738.80x = 160,886,334,812.31
  5. Step 5: Solve for x
    x = 160,886,334,812.31/496,738.80
  6. Step 6: Final answer
    x = 323,885.18

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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.