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Finding the Fourth Proportional to 400,569.40, 601,194.30 and 164,081.80

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Solution

The fourth proportional to 400,569.40, 601,194.30 and 164,081.80 is: 246,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,569.40 : 601,194.30 = 164,081.80 : x
  2. Step 2: Convert to fraction form
    400,569.40/601,194.30 = 164,081.80/x
  3. Step 3: Cross multiply
    400,569.40x = 601,194.30 × 164,081.80
  4. Step 4: Simplify right side
    400,569.40x = 98,645,042,893.74
  5. Step 5: Solve for x
    x = 98,645,042,893.74/400,569.40
  6. Step 6: Final answer
    x = 246,262.05

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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.