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Finding the Fourth Proportional to 922,396.57, 1,383,521.01 and 410,220.30

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Solution

The fourth proportional to 922,396.57, 1,383,521.01 and 410,220.30 is: 615,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,396.57 : 1,383,521.01 = 410,220.30 : x
  2. Step 2: Convert to fraction form
    922,396.57/1,383,521.01 = 410,220.30/x
  3. Step 3: Cross multiply
    922,396.57x = 1,383,521.01 × 410,220.30
  4. Step 4: Simplify right side
    922,396.57x = 567,548,403,778.50
  5. Step 5: Solve for x
    x = 567,548,403,778.50/922,396.57
  6. Step 6: Final answer
    x = 615,297.61

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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.