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Finding the Fourth Proportional to 401,471.37, 602,016.38 and 233,043.37

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Solution

The fourth proportional to 401,471.37, 602,016.38 and 233,043.37 is: 349,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,471.37 : 602,016.38 = 233,043.37 : x
  2. Step 2: Convert to fraction form
    401,471.37/602,016.38 = 233,043.37/x
  3. Step 3: Cross multiply
    401,471.37x = 602,016.38 × 233,043.37
  4. Step 4: Simplify right side
    401,471.37x = 140,295,925,990.40
  5. Step 5: Solve for x
    x = 140,295,925,990.40/401,471.37
  6. Step 6: Final answer
    x = 349,454.37

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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.