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Finding the Fourth Proportional to 350,076.40, 523,802.40 and 231,978.40

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Solution

The fourth proportional to 350,076.40, 523,802.40 and 231,978.40 is: 347,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,076.40 : 523,802.40 = 231,978.40 : x
  2. Step 2: Convert to fraction form
    350,076.40/523,802.40 = 231,978.40/x
  3. Step 3: Cross multiply
    350,076.40x = 523,802.40 × 231,978.40
  4. Step 4: Simplify right side
    350,076.40x = 121,510,842,668.16
  5. Step 5: Solve for x
    x = 121,510,842,668.16/350,076.40
  6. Step 6: Final answer
    x = 347,098.07

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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.