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Finding the Fourth Proportional to 310,342.80, 465,514.20 and 204,054.60

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Solution

The fourth proportional to 310,342.80, 465,514.20 and 204,054.60 is: 306,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,342.80 : 465,514.20 = 204,054.60 : x
  2. Step 2: Convert to fraction form
    310,342.80/465,514.20 = 204,054.60/x
  3. Step 3: Cross multiply
    310,342.80x = 465,514.20 × 204,054.60
  4. Step 4: Simplify right side
    310,342.80x = 94,990,313,875.32
  5. Step 5: Solve for x
    x = 94,990,313,875.32/310,342.80
  6. Step 6: Final answer
    x = 306,081.90

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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.