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Finding the Fourth Proportional to 439,712.70, 659,569.05 and 415,218.30

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Solution

The fourth proportional to 439,712.70, 659,569.05 and 415,218.30 is: 622,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,712.70 : 659,569.05 = 415,218.30 : x
  2. Step 2: Convert to fraction form
    439,712.70/659,569.05 = 415,218.30/x
  3. Step 3: Cross multiply
    439,712.70x = 659,569.05 × 415,218.30
  4. Step 4: Simplify right side
    439,712.70x = 273,865,139,673.62
  5. Step 5: Solve for x
    x = 273,865,139,673.62/439,712.70
  6. Step 6: Final answer
    x = 622,827.45

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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.