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Finding the Fourth Proportional to 361,142.60, 498,211.36 and 233,859.20

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Solution

The fourth proportional to 361,142.60, 498,211.36 and 233,859.20 is: 322,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,142.60 : 498,211.36 = 233,859.20 : x
  2. Step 2: Convert to fraction form
    361,142.60/498,211.36 = 233,859.20/x
  3. Step 3: Cross multiply
    361,142.60x = 498,211.36 × 233,859.20
  4. Step 4: Simplify right side
    361,142.60x = 116,511,310,080.51
  5. Step 5: Solve for x
    x = 116,511,310,080.51/361,142.60
  6. Step 6: Final answer
    x = 322,618.57

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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.