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Finding the Fourth Proportional to 240,096.78, 330,377.40 and 232,792.20

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Solution

The fourth proportional to 240,096.78, 330,377.40 and 232,792.20 is: 320,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,096.78 : 330,377.40 = 232,792.20 : x
  2. Step 2: Convert to fraction form
    240,096.78/330,377.40 = 232,792.20/x
  3. Step 3: Cross multiply
    240,096.78x = 330,377.40 × 232,792.20
  4. Step 4: Simplify right side
    240,096.78x = 76,909,281,776.28
  5. Step 5: Solve for x
    x = 76,909,281,776.28/240,096.78
  6. Step 6: Final answer
    x = 320,326.17

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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.