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Finding the Fourth Proportional to 465,972.86, 698,290.22 and 199,661.06

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Solution

The fourth proportional to 465,972.86, 698,290.22 and 199,661.06 is: 299,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,972.86 : 698,290.22 = 199,661.06 : x
  2. Step 2: Convert to fraction form
    465,972.86/698,290.22 = 199,661.06/x
  3. Step 3: Cross multiply
    465,972.86x = 698,290.22 × 199,661.06
  4. Step 4: Simplify right side
    465,972.86x = 139,421,365,512.83
  5. Step 5: Solve for x
    x = 139,421,365,512.83/465,972.86
  6. Step 6: Final answer
    x = 299,204.91

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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.