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Finding the Fourth Proportional to 468,523.64, 702,916.68 and 188,237.72

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Solution

The fourth proportional to 468,523.64, 702,916.68 and 188,237.72 is: 282,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,523.64 : 702,916.68 = 188,237.72 : x
  2. Step 2: Convert to fraction form
    468,523.64/702,916.68 = 188,237.72/x
  3. Step 3: Cross multiply
    468,523.64x = 702,916.68 × 188,237.72
  4. Step 4: Simplify right side
    468,523.64x = 132,315,433,193.17
  5. Step 5: Solve for x
    x = 132,315,433,193.17/468,523.64
  6. Step 6: Final answer
    x = 282,409.30

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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.