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Finding the Fourth Proportional to 388,800, 536,544 and 209,952

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Solution

The fourth proportional to 388,800, 536,544 and 209,952 is: 289,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,800 : 536,544 = 209,952 : x
  2. Step 2: Convert to fraction form
    388,800/536,544 = 209,952/x
  3. Step 3: Cross multiply
    388,800x = 536,544 × 209,952
  4. Step 4: Simplify right side
    388,800x = 112,648,485,888
  5. Step 5: Solve for x
    x = 112,648,485,888/388,800
  6. Step 6: Final answer
    x = 289,733.76

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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.