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Finding the Fourth Proportional to 541,409.57, 811,769.75 and 256,924.61

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Solution

The fourth proportional to 541,409.57, 811,769.75 and 256,924.61 is: 385,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,409.57 : 811,769.75 = 256,924.61 : x
  2. Step 2: Convert to fraction form
    541,409.57/811,769.75 = 256,924.61/x
  3. Step 3: Cross multiply
    541,409.57x = 811,769.75 × 256,924.61
  4. Step 4: Simplify right side
    541,409.57x = 208,563,625,092.68
  5. Step 5: Solve for x
    x = 208,563,625,092.68/541,409.57
  6. Step 6: Final answer
    x = 385,223.38

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1.5x scale

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.