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Finding the Fourth Proportional to 426,241.80, 639,708.30 and 412,417.80

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Solution

The fourth proportional to 426,241.80, 639,708.30 and 412,417.80 is: 618,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,241.80 : 639,708.30 = 412,417.80 : x
  2. Step 2: Convert to fraction form
    426,241.80/639,708.30 = 412,417.80/x
  3. Step 3: Cross multiply
    426,241.80x = 639,708.30 × 412,417.80
  4. Step 4: Simplify right side
    426,241.80x = 263,827,089,727.74
  5. Step 5: Solve for x
    x = 263,827,089,727.74/426,241.80
  6. Step 6: Final answer
    x = 618,961.09

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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.