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Finding the Fourth Proportional to 465,748.88, 698,038.80 and 199,196

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Solution

The fourth proportional to 465,748.88, 698,038.80 and 199,196 is: 298,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,748.88 : 698,038.80 = 199,196 : x
  2. Step 2: Convert to fraction form
    465,748.88/698,038.80 = 199,196/x
  3. Step 3: Cross multiply
    465,748.88x = 698,038.80 × 199,196
  4. Step 4: Simplify right side
    465,748.88x = 139,046,536,804.80
  5. Step 5: Solve for x
    x = 139,046,536,804.80/465,748.88
  6. Step 6: Final answer
    x = 298,544.01

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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.