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Finding the Fourth Proportional to 397,644.85, 548,733.47 and 216,357.49

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Solution

The fourth proportional to 397,644.85, 548,733.47 and 216,357.49 is: 298,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,644.85 : 548,733.47 = 216,357.49 : x
  2. Step 2: Convert to fraction form
    397,644.85/548,733.47 = 216,357.49/x
  3. Step 3: Cross multiply
    397,644.85x = 548,733.47 × 216,357.49
  4. Step 4: Simplify right side
    397,644.85x = 118,722,596,248.19
  5. Step 5: Solve for x
    x = 118,722,596,248.19/397,644.85
  6. Step 6: Final answer
    x = 298,564.40

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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.