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Finding the Fourth Proportional to 382,827.70, 573,818.46 and 158,064.22

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Solution

The fourth proportional to 382,827.70, 573,818.46 and 158,064.22 is: 236,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,827.70 : 573,818.46 = 158,064.22 : x
  2. Step 2: Convert to fraction form
    382,827.70/573,818.46 = 158,064.22/x
  3. Step 3: Cross multiply
    382,827.70x = 573,818.46 × 158,064.22
  4. Step 4: Simplify right side
    382,827.70x = 90,700,167,301.50
  5. Step 5: Solve for x
    x = 90,700,167,301.50/382,827.70
  6. Step 6: Final answer
    x = 236,921.64

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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.