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Finding the Fourth Proportional to 464,833.28, 697,158.10 and 127,786.97

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Solution

The fourth proportional to 464,833.28, 697,158.10 and 127,786.97 is: 191,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,833.28 : 697,158.10 = 127,786.97 : x
  2. Step 2: Convert to fraction form
    464,833.28/697,158.10 = 127,786.97/x
  3. Step 3: Cross multiply
    464,833.28x = 697,158.10 × 127,786.97
  4. Step 4: Simplify right side
    464,833.28x = 89,087,721,209.96
  5. Step 5: Solve for x
    x = 89,087,721,209.96/464,833.28
  6. Step 6: Final answer
    x = 191,655.21

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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.