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Finding the Fourth Proportional to 401,470.37, 602,014.88 and 233,042.37

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Solution

The fourth proportional to 401,470.37, 602,014.88 and 233,042.37 is: 349,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,470.37 : 602,014.88 = 233,042.37 : x
  2. Step 2: Convert to fraction form
    401,470.37/602,014.88 = 233,042.37/x
  3. Step 3: Cross multiply
    401,470.37x = 602,014.88 × 233,042.37
  4. Step 4: Simplify right side
    401,470.37x = 140,294,972,735.52
  5. Step 5: Solve for x
    x = 140,294,972,735.52/401,470.37
  6. Step 6: Final answer
    x = 349,452.87

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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.