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Finding the Fourth Proportional to 468,523.14, 702,916.02 and 188,237.22

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Solution

The fourth proportional to 468,523.14, 702,916.02 and 188,237.22 is: 282,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,523.14 : 702,916.02 = 188,237.22 : x
  2. Step 2: Convert to fraction form
    468,523.14/702,916.02 = 188,237.22/x
  3. Step 3: Cross multiply
    468,523.14x = 702,916.02 × 188,237.22
  4. Step 4: Simplify right side
    468,523.14x = 132,314,957,498.26
  5. Step 5: Solve for x
    x = 132,314,957,498.26/468,523.14
  6. Step 6: Final answer
    x = 282,408.59

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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.