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Finding the Fourth Proportional to 464,353.96, 696,793.42 and 198,089.32

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Solution

The fourth proportional to 464,353.96, 696,793.42 and 198,089.32 is: 297,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,353.96 : 696,793.42 = 198,089.32 : x
  2. Step 2: Convert to fraction form
    464,353.96/696,793.42 = 198,089.32/x
  3. Step 3: Cross multiply
    464,353.96x = 696,793.42 × 198,089.32
  4. Step 4: Simplify right side
    464,353.96x = 138,027,334,748.27
  5. Step 5: Solve for x
    x = 138,027,334,748.27/464,353.96
  6. Step 6: Final answer
    x = 297,245.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.