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Finding the Fourth Proportional to 376,952.40, 565,428.60 and 96,469.65

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Solution

The fourth proportional to 376,952.40, 565,428.60 and 96,469.65 is: 144,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,952.40 : 565,428.60 = 96,469.65 : x
  2. Step 2: Convert to fraction form
    376,952.40/565,428.60 = 96,469.65/x
  3. Step 3: Cross multiply
    376,952.40x = 565,428.60 × 96,469.65
  4. Step 4: Simplify right side
    376,952.40x = 54,546,699,141.99
  5. Step 5: Solve for x
    x = 54,546,699,141.99/376,952.40
  6. Step 6: Final answer
    x = 144,704.48

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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.