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Finding the Fourth Proportional to 388,819, 536,570.22 and 209,971

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Solution

The fourth proportional to 388,819, 536,570.22 and 209,971 is: 289,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,819 : 536,570.22 = 209,971 : x
  2. Step 2: Convert to fraction form
    388,819/536,570.22 = 209,971/x
  3. Step 3: Cross multiply
    388,819x = 536,570.22 × 209,971
  4. Step 4: Simplify right side
    388,819x = 112,664,185,663.62
  5. Step 5: Solve for x
    x = 112,664,185,663.62/388,819
  6. Step 6: Final answer
    x = 289,759.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.