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Finding the Fourth Proportional to 415,046.60, 622,569.90 and 310,070.60

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Solution

The fourth proportional to 415,046.60, 622,569.90 and 310,070.60 is: 465,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,046.60 : 622,569.90 = 310,070.60 : x
  2. Step 2: Convert to fraction form
    415,046.60/622,569.90 = 310,070.60/x
  3. Step 3: Cross multiply
    415,046.60x = 622,569.90 × 310,070.60
  4. Step 4: Simplify right side
    415,046.60x = 193,040,622,434.94
  5. Step 5: Solve for x
    x = 193,040,622,434.94/415,046.60
  6. Step 6: Final answer
    x = 465,105.90

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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.