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Finding the Fourth Proportional to 362,466, 500,203.08 and 203,490

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Solution

The fourth proportional to 362,466, 500,203.08 and 203,490 is: 280,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,466 : 500,203.08 = 203,490 : x
  2. Step 2: Convert to fraction form
    362,466/500,203.08 = 203,490/x
  3. Step 3: Cross multiply
    362,466x = 500,203.08 × 203,490
  4. Step 4: Simplify right side
    362,466x = 101,786,324,749.20
  5. Step 5: Solve for x
    x = 101,786,324,749.20/362,466
  6. Step 6: Final answer
    x = 280,816.20

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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.