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Finding the Fourth Proportional to 372,586, 514,168.74 and 202,821.40

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Solution

The fourth proportional to 372,586, 514,168.74 and 202,821.40 is: 279,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,586 : 514,168.74 = 202,821.40 : x
  2. Step 2: Convert to fraction form
    372,586/514,168.74 = 202,821.40/x
  3. Step 3: Cross multiply
    372,586x = 514,168.74 × 202,821.40
  4. Step 4: Simplify right side
    372,586x = 104,284,423,683.04
  5. Step 5: Solve for x
    x = 104,284,423,683.04/372,586
  6. Step 6: Final answer
    x = 279,893.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.