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Finding the Fourth Proportional to 541,711.84, 812,706 and 343,441.12

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Solution

The fourth proportional to 541,711.84, 812,706 and 343,441.12 is: 515,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,711.84 : 812,706 = 343,441.12 : x
  2. Step 2: Convert to fraction form
    541,711.84/812,706 = 343,441.12/x
  3. Step 3: Cross multiply
    541,711.84x = 812,706 × 343,441.12
  4. Step 4: Simplify right side
    541,711.84x = 279,116,658,870.72
  5. Step 5: Solve for x
    x = 279,116,658,870.72/541,711.84
  6. Step 6: Final answer
    x = 515,249.32

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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.