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Finding the Fourth Proportional to 523,817, 722,867.46 and 285,353

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Solution

The fourth proportional to 523,817, 722,867.46 and 285,353 is: 393,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,817 : 722,867.46 = 285,353 : x
  2. Step 2: Convert to fraction form
    523,817/722,867.46 = 285,353/x
  3. Step 3: Cross multiply
    523,817x = 722,867.46 × 285,353
  4. Step 4: Simplify right side
    523,817x = 206,272,398,313.38
  5. Step 5: Solve for x
    x = 206,272,398,313.38/523,817
  6. Step 6: Final answer
    x = 393,787.14

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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.