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Finding the Fourth Proportional to 463,558.60, 694,301.10 and 453,190.60

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Solution

The fourth proportional to 463,558.60, 694,301.10 and 453,190.60 is: 678,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,558.60 : 694,301.10 = 453,190.60 : x
  2. Step 2: Convert to fraction form
    463,558.60/694,301.10 = 453,190.60/x
  3. Step 3: Cross multiply
    463,558.60x = 694,301.10 × 453,190.60
  4. Step 4: Simplify right side
    463,558.60x = 314,650,732,089.66
  5. Step 5: Solve for x
    x = 314,650,732,089.66/463,558.60
  6. Step 6: Final answer
    x = 678,772.29

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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.