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Finding the Fourth Proportional to 382,405.40, 573,608.10 and 242,322.20

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Solution

The fourth proportional to 382,405.40, 573,608.10 and 242,322.20 is: 363,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,405.40 : 573,608.10 = 242,322.20 : x
  2. Step 2: Convert to fraction form
    382,405.40/573,608.10 = 242,322.20/x
  3. Step 3: Cross multiply
    382,405.40x = 573,608.10 × 242,322.20
  4. Step 4: Simplify right side
    382,405.40x = 138,997,976,729.82
  5. Step 5: Solve for x
    x = 138,997,976,729.82/382,405.40
  6. Step 6: Final answer
    x = 363,483.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.