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Finding the Fourth Proportional to 464,069.28, 695,617.92 and 194,351.40

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Solution

The fourth proportional to 464,069.28, 695,617.92 and 194,351.40 is: 291,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,069.28 : 695,617.92 = 194,351.40 : x
  2. Step 2: Convert to fraction form
    464,069.28/695,617.92 = 194,351.40/x
  3. Step 3: Cross multiply
    464,069.28x = 695,617.92 × 194,351.40
  4. Step 4: Simplify right side
    464,069.28x = 135,194,316,617.09
  5. Step 5: Solve for x
    x = 135,194,316,617.09/464,069.28
  6. Step 6: Final answer
    x = 291,323.56

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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.