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Finding the Fourth Proportional to 651,969.40, 978,126.90 and 231,201.40

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Solution

The fourth proportional to 651,969.40, 978,126.90 and 231,201.40 is: 346,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,969.40 : 978,126.90 = 231,201.40 : x
  2. Step 2: Convert to fraction form
    651,969.40/978,126.90 = 231,201.40/x
  3. Step 3: Cross multiply
    651,969.40x = 978,126.90 × 231,201.40
  4. Step 4: Simplify right side
    651,969.40x = 226,144,308,657.66
  5. Step 5: Solve for x
    x = 226,144,308,657.66/651,969.40
  6. Step 6: Final answer
    x = 346,863.38

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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.