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Finding the Fourth Proportional to 941,797.16, 1,412,664.14 and 409,318.14

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Solution

The fourth proportional to 941,797.16, 1,412,664.14 and 409,318.14 is: 613,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,797.16 : 1,412,664.14 = 409,318.14 : x
  2. Step 2: Convert to fraction form
    941,797.16/1,412,664.14 = 409,318.14/x
  3. Step 3: Cross multiply
    941,797.16x = 1,412,664.14 × 409,318.14
  4. Step 4: Simplify right side
    941,797.16x = 578,229,058,229.50
  5. Step 5: Solve for x
    x = 578,229,058,229.50/941,797.16
  6. Step 6: Final answer
    x = 613,963.48

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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.