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Finding the Fourth Proportional to 316,231.20, 473,194.80 and 233,287.20

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Solution

The fourth proportional to 316,231.20, 473,194.80 and 233,287.20 is: 349,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,231.20 : 473,194.80 = 233,287.20 : x
  2. Step 2: Convert to fraction form
    316,231.20/473,194.80 = 233,287.20/x
  3. Step 3: Cross multiply
    316,231.20x = 473,194.80 × 233,287.20
  4. Step 4: Simplify right side
    316,231.20x = 110,390,289,946.56
  5. Step 5: Solve for x
    x = 110,390,289,946.56/316,231.20
  6. Step 6: Final answer
    x = 349,080.96

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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.