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Finding the Fourth Proportional to 468,686.16, 703,061.76 and 188,203.44

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Solution

The fourth proportional to 468,686.16, 703,061.76 and 188,203.44 is: 282,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,686.16 : 703,061.76 = 188,203.44 : x
  2. Step 2: Convert to fraction form
    468,686.16/703,061.76 = 188,203.44/x
  3. Step 3: Cross multiply
    468,686.16x = 703,061.76 × 188,203.44
  4. Step 4: Simplify right side
    468,686.16x = 132,318,641,764.45
  5. Step 5: Solve for x
    x = 132,318,641,764.45/468,686.16
  6. Step 6: Final answer
    x = 282,318.22

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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.