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Finding the Fourth Proportional to 468,516.14, 702,905.43 and 188,230.22

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Solution

The fourth proportional to 468,516.14, 702,905.43 and 188,230.22 is: 282,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,516.14 : 702,905.43 = 188,230.22 : x
  2. Step 2: Convert to fraction form
    468,516.14/702,905.43 = 188,230.22/x
  3. Step 3: Cross multiply
    468,516.14x = 702,905.43 × 188,230.22
  4. Step 4: Simplify right side
    468,516.14x = 132,308,043,728.10
  5. Step 5: Solve for x
    x = 132,308,043,728.10/468,516.14
  6. Step 6: Final answer
    x = 282,398.05

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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.