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Finding the Fourth Proportional to 553,165.38, 829,812.24 and 193,224.78

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Solution

The fourth proportional to 553,165.38, 829,812.24 and 193,224.78 is: 289,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,165.38 : 829,812.24 = 193,224.78 : x
  2. Step 2: Convert to fraction form
    553,165.38/829,812.24 = 193,224.78/x
  3. Step 3: Cross multiply
    553,165.38x = 829,812.24 × 193,224.78
  4. Step 4: Simplify right side
    553,165.38x = 160,340,287,515.31
  5. Step 5: Solve for x
    x = 160,340,287,515.31/553,165.38
  6. Step 6: Final answer
    x = 289,859.59

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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.