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Finding the Fourth Proportional to 382,426.68, 573,705.36 and 157,664.24

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Solution

The fourth proportional to 382,426.68, 573,705.36 and 157,664.24 is: 236,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,426.68 : 573,705.36 = 157,664.24 : x
  2. Step 2: Convert to fraction form
    382,426.68/573,705.36 = 157,664.24/x
  3. Step 3: Cross multiply
    382,426.68x = 573,705.36 × 157,664.24
  4. Step 4: Simplify right side
    382,426.68x = 90,452,816,699.80
  5. Step 5: Solve for x
    x = 90,452,816,699.80/382,426.68
  6. Step 6: Final answer
    x = 236,523.29

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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.