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Finding the Fourth Proportional to 410,796.63, 566,802.20 and 238,612.29

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Solution

The fourth proportional to 410,796.63, 566,802.20 and 238,612.29 is: 329,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,796.63 : 566,802.20 = 238,612.29 : x
  2. Step 2: Convert to fraction form
    410,796.63/566,802.20 = 238,612.29/x
  3. Step 3: Cross multiply
    410,796.63x = 566,802.20 × 238,612.29
  4. Step 4: Simplify right side
    410,796.63x = 135,245,968,495.26
  5. Step 5: Solve for x
    x = 135,245,968,495.26/410,796.63
  6. Step 6: Final answer
    x = 329,228.52

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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.