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Finding the Fourth Proportional to 715,762.38, 987,731.01 and 409,828.62

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Solution

The fourth proportional to 715,762.38, 987,731.01 and 409,828.62 is: 565,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,762.38 : 987,731.01 = 409,828.62 : x
  2. Step 2: Convert to fraction form
    715,762.38/987,731.01 = 409,828.62/x
  3. Step 3: Cross multiply
    715,762.38x = 987,731.01 × 409,828.62
  4. Step 4: Simplify right side
    715,762.38x = 404,800,436,759.51
  5. Step 5: Solve for x
    x = 404,800,436,759.51/715,762.38
  6. Step 6: Final answer
    x = 565,551.43

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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.