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Finding the Fourth Proportional to 465,752.88, 698,044.80 and 199,200

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Solution

The fourth proportional to 465,752.88, 698,044.80 and 199,200 is: 298,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,752.88 : 698,044.80 = 199,200 : x
  2. Step 2: Convert to fraction form
    465,752.88/698,044.80 = 199,200/x
  3. Step 3: Cross multiply
    465,752.88x = 698,044.80 × 199,200
  4. Step 4: Simplify right side
    465,752.88x = 139,050,524,160
  5. Step 5: Solve for x
    x = 139,050,524,160/465,752.88
  6. Step 6: Final answer
    x = 298,550.00

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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.