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Finding the Fourth Proportional to 270,561.60, 405,842.40 and 257,659.20

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Solution

The fourth proportional to 270,561.60, 405,842.40 and 257,659.20 is: 386,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,561.60 : 405,842.40 = 257,659.20 : x
  2. Step 2: Convert to fraction form
    270,561.60/405,842.40 = 257,659.20/x
  3. Step 3: Cross multiply
    270,561.60x = 405,842.40 × 257,659.20
  4. Step 4: Simplify right side
    270,561.60x = 104,569,028,110.08
  5. Step 5: Solve for x
    x = 104,569,028,110.08/270,561.60
  6. Step 6: Final answer
    x = 386,488.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.