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Finding the Fourth Proportional to 665,280.88, 997,561.78 and 209,786.19

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Solution

The fourth proportional to 665,280.88, 997,561.78 and 209,786.19 is: 314,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,280.88 : 997,561.78 = 209,786.19 : x
  2. Step 2: Convert to fraction form
    665,280.88/997,561.78 = 209,786.19/x
  3. Step 3: Cross multiply
    665,280.88x = 997,561.78 × 209,786.19
  4. Step 4: Simplify right side
    665,280.88x = 209,274,680,850.50
  5. Step 5: Solve for x
    x = 209,274,680,850.50/665,280.88
  6. Step 6: Final answer
    x = 314,565.90

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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.