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Finding the Fourth Proportional to 468,524.14, 702,917.43 and 188,238.22

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Solution

The fourth proportional to 468,524.14, 702,917.43 and 188,238.22 is: 282,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,524.14 : 702,917.43 = 188,238.22 : x
  2. Step 2: Convert to fraction form
    468,524.14/702,917.43 = 188,238.22/x
  3. Step 3: Cross multiply
    468,524.14x = 702,917.43 × 188,238.22
  4. Step 4: Simplify right side
    468,524.14x = 132,315,925,830.18
  5. Step 5: Solve for x
    x = 132,315,925,830.18/468,524.14
  6. Step 6: Final answer
    x = 282,410.05

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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.