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Finding the Fourth Proportional to 415,233.90, 622,850.85 and 407,360.70

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Solution

The fourth proportional to 415,233.90, 622,850.85 and 407,360.70 is: 611,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,233.90 : 622,850.85 = 407,360.70 : x
  2. Step 2: Convert to fraction form
    415,233.90/622,850.85 = 407,360.70/x
  3. Step 3: Cross multiply
    415,233.90x = 622,850.85 × 407,360.70
  4. Step 4: Simplify right side
    415,233.90x = 253,724,958,251.60
  5. Step 5: Solve for x
    x = 253,724,958,251.60/415,233.90
  6. Step 6: Final answer
    x = 611,041.05

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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.