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Finding the Fourth Proportional to 468,725.22, 703,120.71 and 188,242.50

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Solution

The fourth proportional to 468,725.22, 703,120.71 and 188,242.50 is: 282,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,725.22 : 703,120.71 = 188,242.50 : x
  2. Step 2: Convert to fraction form
    468,725.22/703,120.71 = 188,242.50/x
  3. Step 3: Cross multiply
    468,725.22x = 703,120.71 × 188,242.50
  4. Step 4: Simplify right side
    468,725.22x = 132,357,200,252.18
  5. Step 5: Solve for x
    x = 132,357,200,252.18/468,725.22
  6. Step 6: Final answer
    x = 282,376.95

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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.