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Finding the Fourth Proportional to 665,107.65, 997,808.90 and 191,756.07

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Solution

The fourth proportional to 665,107.65, 997,808.90 and 191,756.07 is: 287,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,107.65 : 997,808.90 = 191,756.07 : x
  2. Step 2: Convert to fraction form
    665,107.65/997,808.90 = 191,756.07/x
  3. Step 3: Cross multiply
    665,107.65x = 997,808.90 × 191,756.07
  4. Step 4: Simplify right side
    665,107.65x = 191,335,912,316.24
  5. Step 5: Solve for x
    x = 191,335,912,316.24/665,107.65
  6. Step 6: Final answer
    x = 287,676.61

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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.