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Finding the Fourth Proportional to 465,267.96, 698,165.46 and 199,004.76

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Solution

The fourth proportional to 465,267.96, 698,165.46 and 199,004.76 is: 298,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,267.96 : 698,165.46 = 199,004.76 : x
  2. Step 2: Convert to fraction form
    465,267.96/698,165.46 = 199,004.76/x
  3. Step 3: Cross multiply
    465,267.96x = 698,165.46 × 199,004.76
  4. Step 4: Simplify right side
    465,267.96x = 138,938,249,807.59
  5. Step 5: Solve for x
    x = 138,938,249,807.59/465,267.96
  6. Step 6: Final answer
    x = 298,619.85

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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.