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Finding the Fourth Proportional to 541,192.26, 746,924.55 and 311,705.43

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Solution

The fourth proportional to 541,192.26, 746,924.55 and 311,705.43 is: 430,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,192.26 : 746,924.55 = 311,705.43 : x
  2. Step 2: Convert to fraction form
    541,192.26/746,924.55 = 311,705.43/x
  3. Step 3: Cross multiply
    541,192.26x = 746,924.55 × 311,705.43
  4. Step 4: Simplify right side
    541,192.26x = 232,820,438,035.31
  5. Step 5: Solve for x
    x = 232,820,438,035.31/541,192.26
  6. Step 6: Final answer
    x = 430,199.13

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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.