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Finding the Fourth Proportional to 361,722.64, 542,033.16 and 183,963.28

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Solution

The fourth proportional to 361,722.64, 542,033.16 and 183,963.28 is: 275,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,722.64 : 542,033.16 = 183,963.28 : x
  2. Step 2: Convert to fraction form
    361,722.64/542,033.16 = 183,963.28/x
  3. Step 3: Cross multiply
    361,722.64x = 542,033.16 × 183,963.28
  4. Step 4: Simplify right side
    361,722.64x = 99,714,197,982.36
  5. Step 5: Solve for x
    x = 99,714,197,982.36/361,722.64
  6. Step 6: Final answer
    x = 275,664.80

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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.