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Finding the Fourth Proportional to 270,342.40, 405,923.20 and 208,083.20

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Solution

The fourth proportional to 270,342.40, 405,923.20 and 208,083.20 is: 312,440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,342.40 : 405,923.20 = 208,083.20 : x
  2. Step 2: Convert to fraction form
    270,342.40/405,923.20 = 208,083.20/x
  3. Step 3: Cross multiply
    270,342.40x = 405,923.20 × 208,083.20
  4. Step 4: Simplify right side
    270,342.40x = 84,465,798,410.24
  5. Step 5: Solve for x
    x = 84,465,798,410.24/270,342.40
  6. Step 6: Final answer
    x = 312,440.07

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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.