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Finding the Fourth Proportional to 464,189.87, 696,321.70 and 197,952.66

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Solution

The fourth proportional to 464,189.87, 696,321.70 and 197,952.66 is: 296,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,189.87 : 696,321.70 = 197,952.66 : x
  2. Step 2: Convert to fraction form
    464,189.87/696,321.70 = 197,952.66/x
  3. Step 3: Cross multiply
    464,189.87x = 696,321.70 × 197,952.66
  4. Step 4: Simplify right side
    464,189.87x = 137,838,732,235.84
  5. Step 5: Solve for x
    x = 137,838,732,235.84/464,189.87
  6. Step 6: Final answer
    x = 296,944.72

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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.