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Finding the Fourth Proportional to 397,800.65, 548,978.36 and 216,519.16

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Solution

The fourth proportional to 397,800.65, 548,978.36 and 216,519.16 is: 298,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,800.65 : 548,978.36 = 216,519.16 : x
  2. Step 2: Convert to fraction form
    397,800.65/548,978.36 = 216,519.16/x
  3. Step 3: Cross multiply
    397,800.65x = 548,978.36 × 216,519.16
  4. Step 4: Simplify right side
    397,800.65x = 118,864,333,365.38
  5. Step 5: Solve for x
    x = 118,864,333,365.38/397,800.65
  6. Step 6: Final answer
    x = 298,803.77

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Why These Related Problems?

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