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Finding the Fourth Proportional to 468,677.34, 703,015.83 and 188,194.50

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Solution

The fourth proportional to 468,677.34, 703,015.83 and 188,194.50 is: 282,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,677.34 : 703,015.83 = 188,194.50 : x
  2. Step 2: Convert to fraction form
    468,677.34/703,015.83 = 188,194.50/x
  3. Step 3: Cross multiply
    468,677.34x = 703,015.83 × 188,194.50
  4. Step 4: Simplify right side
    468,677.34x = 132,303,712,618.94
  5. Step 5: Solve for x
    x = 132,303,712,618.94/468,677.34
  6. Step 6: Final answer
    x = 282,291.68

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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.