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Finding the Fourth Proportional to 465,572.81, 697,774.91 and 199,020.04

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Solution

The fourth proportional to 465,572.81, 697,774.91 and 199,020.04 is: 298,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,572.81 : 697,774.91 = 199,020.04 : x
  2. Step 2: Convert to fraction form
    465,572.81/697,774.91 = 199,020.04/x
  3. Step 3: Cross multiply
    465,572.81x = 697,774.91 × 199,020.04
  4. Step 4: Simplify right side
    465,572.81x = 138,871,187,759.66
  5. Step 5: Solve for x
    x = 138,871,187,759.66/465,572.81
  6. Step 6: Final answer
    x = 298,280.28

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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.