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Finding the Fourth Proportional to 462,681.40, 694,022.10 and 276,057.40

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Solution

The fourth proportional to 462,681.40, 694,022.10 and 276,057.40 is: 414,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,681.40 : 694,022.10 = 276,057.40 : x
  2. Step 2: Convert to fraction form
    462,681.40/694,022.10 = 276,057.40/x
  3. Step 3: Cross multiply
    462,681.40x = 694,022.10 × 276,057.40
  4. Step 4: Simplify right side
    462,681.40x = 191,589,936,468.54
  5. Step 5: Solve for x
    x = 191,589,936,468.54/462,681.40
  6. Step 6: Final answer
    x = 414,086.10

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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.