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Finding the Fourth Proportional to 361,215.72, 498,343.86 and 233,961.48

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Solution

The fourth proportional to 361,215.72, 498,343.86 and 233,961.48 is: 322,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,215.72 : 498,343.86 = 233,961.48 : x
  2. Step 2: Convert to fraction form
    361,215.72/498,343.86 = 233,961.48/x
  3. Step 3: Cross multiply
    361,215.72x = 498,343.86 × 233,961.48
  4. Step 4: Simplify right side
    361,215.72x = 116,593,267,034.51
  5. Step 5: Solve for x
    x = 116,593,267,034.51/361,215.72
  6. Step 6: Final answer
    x = 322,780.16

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1.5x scale

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.