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Finding the Fourth Proportional to 496,153.32, 743,293.21 and 293,143.68

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Solution

The fourth proportional to 496,153.32, 743,293.21 and 293,143.68 is: 439,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,153.32 : 743,293.21 = 293,143.68 : x
  2. Step 2: Convert to fraction form
    496,153.32/743,293.21 = 293,143.68/x
  3. Step 3: Cross multiply
    496,153.32x = 743,293.21 × 293,143.68
  4. Step 4: Simplify right side
    496,153.32x = 217,891,706,898.41
  5. Step 5: Solve for x
    x = 217,891,706,898.41/496,153.32
  6. Step 6: Final answer
    x = 439,162.05

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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.