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Finding the Fourth Proportional to 465,793.32, 698,689.44 and 199,381.08

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Solution

The fourth proportional to 465,793.32, 698,689.44 and 199,381.08 is: 299,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,793.32 : 698,689.44 = 199,381.08 : x
  2. Step 2: Convert to fraction form
    465,793.32/698,689.44 = 199,381.08/x
  3. Step 3: Cross multiply
    465,793.32x = 698,689.44 × 199,381.08
  4. Step 4: Simplify right side
    465,793.32x = 139,305,455,131.80
  5. Step 5: Solve for x
    x = 139,305,455,131.80/465,793.32
  6. Step 6: Final answer
    x = 299,071.39

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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.