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Finding the Fourth Proportional to 397,798.34, 548,975.17 and 216,516.84

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Solution

The fourth proportional to 397,798.34, 548,975.17 and 216,516.84 is: 298,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,798.34 : 548,975.17 = 216,516.84 : x
  2. Step 2: Convert to fraction form
    397,798.34/548,975.17 = 216,516.84/x
  3. Step 3: Cross multiply
    397,798.34x = 548,975.17 × 216,516.84
  4. Step 4: Simplify right side
    397,798.34x = 118,862,367,258.85
  5. Step 5: Solve for x
    x = 118,862,367,258.85/397,798.34
  6. Step 6: Final answer
    x = 298,800.57

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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.