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Finding the Fourth Proportional to 397,594.58, 548,667.95 and 216,301.86

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Solution

The fourth proportional to 397,594.58, 548,667.95 and 216,301.86 is: 298,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,594.58 : 548,667.95 = 216,301.86 : x
  2. Step 2: Convert to fraction form
    397,594.58/548,667.95 = 216,301.86/x
  3. Step 3: Cross multiply
    397,594.58x = 548,667.95 × 216,301.86
  4. Step 4: Simplify right side
    397,594.58x = 118,677,897,025.88
  5. Step 5: Solve for x
    x = 118,677,897,025.88/397,594.58
  6. Step 6: Final answer
    x = 298,489.73

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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.