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Finding the Fourth Proportional to 541,737.84, 812,745 and 343,467.12

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Solution

The fourth proportional to 541,737.84, 812,745 and 343,467.12 is: 515,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,737.84 : 812,745 = 343,467.12 : x
  2. Step 2: Convert to fraction form
    541,737.84/812,745 = 343,467.12/x
  3. Step 3: Cross multiply
    541,737.84x = 812,745 × 343,467.12
  4. Step 4: Simplify right side
    541,737.84x = 279,151,184,444.40
  5. Step 5: Solve for x
    x = 279,151,184,444.40/541,737.84
  6. Step 6: Final answer
    x = 515,288.33

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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.