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Finding the Fourth Proportional to 362,463.40, 543,695.10 and 344,967.40

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Solution

The fourth proportional to 362,463.40, 543,695.10 and 344,967.40 is: 517,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,463.40 : 543,695.10 = 344,967.40 : x
  2. Step 2: Convert to fraction form
    362,463.40/543,695.10 = 344,967.40/x
  3. Step 3: Cross multiply
    362,463.40x = 543,695.10 × 344,967.40
  4. Step 4: Simplify right side
    362,463.40x = 187,557,085,039.74
  5. Step 5: Solve for x
    x = 187,557,085,039.74/362,463.40
  6. Step 6: Final answer
    x = 517,451.10

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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.