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Finding the Fourth Proportional to 541,295.86, 746,910.09 and 299,577.86

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Solution

The fourth proportional to 541,295.86, 746,910.09 and 299,577.86 is: 413,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,295.86 : 746,910.09 = 299,577.86 : x
  2. Step 2: Convert to fraction form
    541,295.86/746,910.09 = 299,577.86/x
  3. Step 3: Cross multiply
    541,295.86x = 746,910.09 × 299,577.86
  4. Step 4: Simplify right side
    541,295.86x = 223,757,725,440.97
  5. Step 5: Solve for x
    x = 223,757,725,440.97/541,295.86
  6. Step 6: Final answer
    x = 413,374.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.