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Finding the Fourth Proportional to 866,568.36, 1,299,298.56 and 416,393.40

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Solution

The fourth proportional to 866,568.36, 1,299,298.56 and 416,393.40 is: 624,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,568.36 : 1,299,298.56 = 416,393.40 : x
  2. Step 2: Convert to fraction form
    866,568.36/1,299,298.56 = 416,393.40/x
  3. Step 3: Cross multiply
    866,568.36x = 1,299,298.56 × 416,393.40
  4. Step 4: Simplify right side
    866,568.36x = 541,019,345,013.50
  5. Step 5: Solve for x
    x = 541,019,345,013.50/866,568.36
  6. Step 6: Final answer
    x = 624,323.91

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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.