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Finding the Fourth Proportional to 469,077.57, 703,616.35 and 114,091.83

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Solution

The fourth proportional to 469,077.57, 703,616.35 and 114,091.83 is: 171,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,077.57 : 703,616.35 = 114,091.83 : x
  2. Step 2: Convert to fraction form
    469,077.57/703,616.35 = 114,091.83/x
  3. Step 3: Cross multiply
    469,077.57x = 703,616.35 × 114,091.83
  4. Step 4: Simplify right side
    469,077.57x = 80,276,876,989.42
  5. Step 5: Solve for x
    x = 80,276,876,989.42/469,077.57
  6. Step 6: Final answer
    x = 171,137.74

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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.