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Finding the Fourth Proportional to 866,506.48, 1,299,206 and 416,331.52

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Solution

The fourth proportional to 866,506.48, 1,299,206 and 416,331.52 is: 624,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,506.48 : 1,299,206 = 416,331.52 : x
  2. Step 2: Convert to fraction form
    866,506.48/1,299,206 = 416,331.52/x
  3. Step 3: Cross multiply
    866,506.48x = 1,299,206 × 416,331.52
  4. Step 4: Simplify right side
    866,506.48x = 540,900,408,773.12
  5. Step 5: Solve for x
    x = 540,900,408,773.12/866,506.48
  6. Step 6: Final answer
    x = 624,231.23

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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.