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Finding the Fourth Proportional to 382,231.95, 573,417.12 and 157,467.48

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Solution

The fourth proportional to 382,231.95, 573,417.12 and 157,467.48 is: 236,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,231.95 : 573,417.12 = 157,467.48 : x
  2. Step 2: Convert to fraction form
    382,231.95/573,417.12 = 157,467.48/x
  3. Step 3: Cross multiply
    382,231.95x = 573,417.12 × 157,467.48
  4. Step 4: Simplify right side
    382,231.95x = 90,294,548,875.26
  5. Step 5: Solve for x
    x = 90,294,548,875.26/382,231.95
  6. Step 6: Final answer
    x = 236,229.73

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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.