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Finding the Fourth Proportional to 361,141.60, 498,209.98 and 233,858.20

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Solution

The fourth proportional to 361,141.60, 498,209.98 and 233,858.20 is: 322,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,141.60 : 498,209.98 = 233,858.20 : x
  2. Step 2: Convert to fraction form
    361,141.60/498,209.98 = 233,858.20/x
  3. Step 3: Cross multiply
    361,141.60x = 498,209.98 × 233,858.20
  4. Step 4: Simplify right side
    361,141.60x = 116,510,489,144.84
  5. Step 5: Solve for x
    x = 116,510,489,144.84/361,141.60
  6. Step 6: Final answer
    x = 322,617.19

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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.