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Finding the Fourth Proportional to 665,097.34, 997,793.52 and 191,745.76

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Solution

The fourth proportional to 665,097.34, 997,793.52 and 191,745.76 is: 287,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,097.34 : 997,793.52 = 191,745.76 : x
  2. Step 2: Convert to fraction form
    665,097.34/997,793.52 = 191,745.76/x
  3. Step 3: Cross multiply
    665,097.34x = 997,793.52 × 191,745.76
  4. Step 4: Simplify right side
    665,097.34x = 191,322,676,815.48
  5. Step 5: Solve for x
    x = 191,322,676,815.48/665,097.34
  6. Step 6: Final answer
    x = 287,661.17

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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.