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Finding the Fourth Proportional to 541,715.84, 812,712 and 343,445.12

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Solution

The fourth proportional to 541,715.84, 812,712 and 343,445.12 is: 515,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,715.84 : 812,712 = 343,445.12 : x
  2. Step 2: Convert to fraction form
    541,715.84/812,712 = 343,445.12/x
  3. Step 3: Cross multiply
    541,715.84x = 812,712 × 343,445.12
  4. Step 4: Simplify right side
    541,715.84x = 279,121,970,365.44
  5. Step 5: Solve for x
    x = 279,121,970,365.44/541,715.84
  6. Step 6: Final answer
    x = 515,255.32

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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.