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Finding the Fourth Proportional to 415,881.80, 622,656.30 and 404,217.80

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Solution

The fourth proportional to 415,881.80, 622,656.30 and 404,217.80 is: 605,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,881.80 : 622,656.30 = 404,217.80 : x
  2. Step 2: Convert to fraction form
    415,881.80/622,656.30 = 404,217.80/x
  3. Step 3: Cross multiply
    415,881.80x = 622,656.30 × 404,217.80
  4. Step 4: Simplify right side
    415,881.80x = 251,688,759,742.14
  5. Step 5: Solve for x
    x = 251,688,759,742.14/415,881.80
  6. Step 6: Final answer
    x = 605,193.01

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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.