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Finding the Fourth Proportional to 523,338.40, 722,165.82 and 296,983.90

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Solution

The fourth proportional to 523,338.40, 722,165.82 and 296,983.90 is: 409,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,338.40 : 722,165.82 = 296,983.90 : x
  2. Step 2: Convert to fraction form
    523,338.40/722,165.82 = 296,983.90/x
  3. Step 3: Cross multiply
    523,338.40x = 722,165.82 × 296,983.90
  4. Step 4: Simplify right side
    523,338.40x = 214,471,621,670.30
  5. Step 5: Solve for x
    x = 214,471,621,670.30/523,338.40
  6. Step 6: Final answer
    x = 409,814.42

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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.