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Finding the Fourth Proportional to 465,147.60, 697,820.78 and 161,551.15

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Solution

The fourth proportional to 465,147.60, 697,820.78 and 161,551.15 is: 242,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,147.60 : 697,820.78 = 161,551.15 : x
  2. Step 2: Convert to fraction form
    465,147.60/697,820.78 = 161,551.15/x
  3. Step 3: Cross multiply
    465,147.60x = 697,820.78 × 161,551.15
  4. Step 4: Simplify right side
    465,147.60x = 112,733,745,206.04
  5. Step 5: Solve for x
    x = 112,733,745,206.04/465,147.60
  6. Step 6: Final answer
    x = 242,361.23

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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.