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Finding the Fourth Proportional to 624,498.30, 861,577.11 and 409,757.58

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Solution

The fourth proportional to 624,498.30, 861,577.11 and 409,757.58 is: 565,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,498.30 : 861,577.11 = 409,757.58 : x
  2. Step 2: Convert to fraction form
    624,498.30/861,577.11 = 409,757.58/x
  3. Step 3: Cross multiply
    624,498.30x = 861,577.11 × 409,757.58
  4. Step 4: Simplify right side
    624,498.30x = 353,037,751,576.99
  5. Step 5: Solve for x
    x = 353,037,751,576.99/624,498.30
  6. Step 6: Final answer
    x = 565,314.19

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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.