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Finding the Fourth Proportional to 500,242.28, 689,868 and 463,087.52

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Solution

The fourth proportional to 500,242.28, 689,868 and 463,087.52 is: 638,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,242.28 : 689,868 = 463,087.52 : x
  2. Step 2: Convert to fraction form
    500,242.28/689,868 = 463,087.52/x
  3. Step 3: Cross multiply
    500,242.28x = 689,868 × 463,087.52
  4. Step 4: Simplify right side
    500,242.28x = 319,469,262,972.03
  5. Step 5: Solve for x
    x = 319,469,262,972.03/500,242.28
  6. Step 6: Final answer
    x = 638,629.08

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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.