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Finding the Fourth Proportional to 469,086.45, 703,630.26 and 114,098.01

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Solution

The fourth proportional to 469,086.45, 703,630.26 and 114,098.01 is: 171,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,086.45 : 703,630.26 = 114,098.01 : x
  2. Step 2: Convert to fraction form
    469,086.45/703,630.26 = 114,098.01/x
  3. Step 3: Cross multiply
    469,086.45x = 703,630.26 × 114,098.01
  4. Step 4: Simplify right side
    469,086.45x = 80,282,812,441.78
  5. Step 5: Solve for x
    x = 80,282,812,441.78/469,086.45
  6. Step 6: Final answer
    x = 171,147.16

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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.