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Finding the Fourth Proportional to 468,708.72, 703,095.96 and 188,226

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Solution

The fourth proportional to 468,708.72, 703,095.96 and 188,226 is: 282,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,708.72 : 703,095.96 = 188,226 : x
  2. Step 2: Convert to fraction form
    468,708.72/703,095.96 = 188,226/x
  3. Step 3: Cross multiply
    468,708.72x = 703,095.96 × 188,226
  4. Step 4: Simplify right side
    468,708.72x = 132,340,940,166.96
  5. Step 5: Solve for x
    x = 132,340,940,166.96/468,708.72
  6. Step 6: Final answer
    x = 282,352.20

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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.