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Finding the Fourth Proportional to 468,710.22, 703,098.21 and 188,227.50

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Solution

The fourth proportional to 468,710.22, 703,098.21 and 188,227.50 is: 282,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,710.22 : 703,098.21 = 188,227.50 : x
  2. Step 2: Convert to fraction form
    468,710.22/703,098.21 = 188,227.50/x
  3. Step 3: Cross multiply
    468,710.22x = 703,098.21 × 188,227.50
  4. Step 4: Simplify right side
    468,710.22x = 132,342,418,322.78
  5. Step 5: Solve for x
    x = 132,342,418,322.78/468,710.22
  6. Step 6: Final answer
    x = 282,354.45

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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.