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Finding the Fourth Proportional to 523,257.17, 722,099.81 and 296,884.85

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Solution

The fourth proportional to 523,257.17, 722,099.81 and 296,884.85 is: 409,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,257.17 : 722,099.81 = 296,884.85 : x
  2. Step 2: Convert to fraction form
    523,257.17/722,099.81 = 296,884.85/x
  3. Step 3: Cross multiply
    523,257.17x = 722,099.81 × 296,884.85
  4. Step 4: Simplify right side
    523,257.17x = 214,380,490,908.59
  5. Step 5: Solve for x
    x = 214,380,490,908.59/523,257.17
  6. Step 6: Final answer
    x = 409,703.88

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Why These Related Problems?

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