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Finding the Fourth Proportional to 541,523.86, 811,540.59 and 461,145.94

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Solution

The fourth proportional to 541,523.86, 811,540.59 and 461,145.94 is: 691,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,523.86 : 811,540.59 = 461,145.94 : x
  2. Step 2: Convert to fraction form
    541,523.86/811,540.59 = 461,145.94/x
  3. Step 3: Cross multiply
    541,523.86x = 811,540.59 × 461,145.94
  4. Step 4: Simplify right side
    541,523.86x = 374,238,648,223.71
  5. Step 5: Solve for x
    x = 374,238,648,223.71/541,523.86
  6. Step 6: Final answer
    x = 691,084.32

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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.