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Finding the Fourth Proportional to 362,937, 500,853.06 and 203,961

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Solution

The fourth proportional to 362,937, 500,853.06 and 203,961 is: 281,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,937 : 500,853.06 = 203,961 : x
  2. Step 2: Convert to fraction form
    362,937/500,853.06 = 203,961/x
  3. Step 3: Cross multiply
    362,937x = 500,853.06 × 203,961
  4. Step 4: Simplify right side
    362,937x = 102,154,490,970.66
  5. Step 5: Solve for x
    x = 102,154,490,970.66/362,937
  6. Step 6: Final answer
    x = 281,466.18

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Why These Related Problems?

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