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Finding the Fourth Proportional to 397,387.50, 548,397.35 and 216,101.40

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Solution

The fourth proportional to 397,387.50, 548,397.35 and 216,101.40 is: 298,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,387.50 : 548,397.35 = 216,101.40 : x
  2. Step 2: Convert to fraction form
    397,387.50/548,397.35 = 216,101.40/x
  3. Step 3: Cross multiply
    397,387.50x = 548,397.35 × 216,101.40
  4. Step 4: Simplify right side
    397,387.50x = 118,509,434,010.78
  5. Step 5: Solve for x
    x = 118,509,434,010.78/397,387.50
  6. Step 6: Final answer
    x = 298,221.34

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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.