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Finding the Fourth Proportional to 541,459.89, 811,787.29 and 328,175.45

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Solution

The fourth proportional to 541,459.89, 811,787.29 and 328,175.45 is: 492,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,459.89 : 811,787.29 = 328,175.45 : x
  2. Step 2: Convert to fraction form
    541,459.89/811,787.29 = 328,175.45/x
  3. Step 3: Cross multiply
    541,459.89x = 811,787.29 × 328,175.45
  4. Step 4: Simplify right side
    541,459.89x = 266,408,658,287.85
  5. Step 5: Solve for x
    x = 266,408,658,287.85/541,459.89
  6. Step 6: Final answer
    x = 492,019.19

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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.