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Finding the Fourth Proportional to 463,850.40, 695,257.20 and 264,266.40

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Solution

The fourth proportional to 463,850.40, 695,257.20 and 264,266.40 is: 396,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,850.40 : 695,257.20 = 264,266.40 : x
  2. Step 2: Convert to fraction form
    463,850.40/695,257.20 = 264,266.40/x
  3. Step 3: Cross multiply
    463,850.40x = 695,257.20 × 264,266.40
  4. Step 4: Simplify right side
    463,850.40x = 183,733,117,318.08
  5. Step 5: Solve for x
    x = 183,733,117,318.08/463,850.40
  6. Step 6: Final answer
    x = 396,104.26

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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.