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Finding the Fourth Proportional to 464,862.43, 697,201.75 and 127,816.12

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Solution

The fourth proportional to 464,862.43, 697,201.75 and 127,816.12 is: 191,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,862.43 : 697,201.75 = 127,816.12 : x
  2. Step 2: Convert to fraction form
    464,862.43/697,201.75 = 127,816.12/x
  3. Step 3: Cross multiply
    464,862.43x = 697,201.75 × 127,816.12
  4. Step 4: Simplify right side
    464,862.43x = 89,113,622,542.21
  5. Step 5: Solve for x
    x = 89,113,622,542.21/464,862.43
  6. Step 6: Final answer
    x = 191,698.91

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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.