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Finding the Fourth Proportional to 465,707.88, 697,977.41 and 199,154.97

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Solution

The fourth proportional to 465,707.88, 697,977.41 and 199,154.97 is: 298,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,707.88 : 697,977.41 = 199,154.97 : x
  2. Step 2: Convert to fraction form
    465,707.88/697,977.41 = 199,154.97/x
  3. Step 3: Cross multiply
    465,707.88x = 697,977.41 × 199,154.97
  4. Step 4: Simplify right side
    465,707.88x = 139,005,669,153.45
  5. Step 5: Solve for x
    x = 139,005,669,153.45/465,707.88
  6. Step 6: Final answer
    x = 298,482.54

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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.