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Finding the Fourth Proportional to 443,287.80, 665,349.30 and 233,076.60

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Solution

The fourth proportional to 443,287.80, 665,349.30 and 233,076.60 is: 349,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,287.80 : 665,349.30 = 233,076.60 : x
  2. Step 2: Convert to fraction form
    443,287.80/665,349.30 = 233,076.60/x
  3. Step 3: Cross multiply
    443,287.80x = 665,349.30 × 233,076.60
  4. Step 4: Simplify right side
    443,287.80x = 155,077,352,656.38
  5. Step 5: Solve for x
    x = 155,077,352,656.38/443,287.80
  6. Step 6: Final answer
    x = 349,834.47

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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.