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Finding the Fourth Proportional to 469,084.86, 703,620.57 and 114,099.51

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Solution

The fourth proportional to 469,084.86, 703,620.57 and 114,099.51 is: 171,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,084.86 : 703,620.57 = 114,099.51 : x
  2. Step 2: Convert to fraction form
    469,084.86/703,620.57 = 114,099.51/x
  3. Step 3: Cross multiply
    469,084.86x = 703,620.57 × 114,099.51
  4. Step 4: Simplify right side
    469,084.86x = 80,282,762,262.92
  5. Step 5: Solve for x
    x = 80,282,762,262.92/469,084.86
  6. Step 6: Final answer
    x = 171,147.63

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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.