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Finding the Fourth Proportional to 382,505.22, 573,232.95 and 242,012.34

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Solution

The fourth proportional to 382,505.22, 573,232.95 and 242,012.34 is: 362,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,505.22 : 573,232.95 = 242,012.34 : x
  2. Step 2: Convert to fraction form
    382,505.22/573,232.95 = 242,012.34/x
  3. Step 3: Cross multiply
    382,505.22x = 573,232.95 × 242,012.34
  4. Step 4: Simplify right side
    382,505.22x = 138,729,447,594.60
  5. Step 5: Solve for x
    x = 138,729,447,594.60/382,505.22
  6. Step 6: Final answer
    x = 362,686.42

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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.