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Finding the Fourth Proportional to 624,236.38, 861,215.74 and 409,668.01

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Solution

The fourth proportional to 624,236.38, 861,215.74 and 409,668.01 is: 565,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,236.38 : 861,215.74 = 409,668.01 : x
  2. Step 2: Convert to fraction form
    624,236.38/861,215.74 = 409,668.01/x
  3. Step 3: Cross multiply
    624,236.38x = 861,215.74 × 409,668.01
  4. Step 4: Simplify right side
    624,236.38x = 352,812,538,386.48
  5. Step 5: Solve for x
    x = 352,812,538,386.48/624,236.38
  6. Step 6: Final answer
    x = 565,190.61

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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.