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Finding the Fourth Proportional to 361,470.09, 498,828.73 and 200,349.36

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Solution

The fourth proportional to 361,470.09, 498,828.73 and 200,349.36 is: 276,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,470.09 : 498,828.73 = 200,349.36 : x
  2. Step 2: Convert to fraction form
    361,470.09/498,828.73 = 200,349.36/x
  3. Step 3: Cross multiply
    361,470.09x = 498,828.73 × 200,349.36
  4. Step 4: Simplify right side
    361,470.09x = 99,940,017,381.37
  5. Step 5: Solve for x
    x = 99,940,017,381.37/361,470.09
  6. Step 6: Final answer
    x = 276,482.12

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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.