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Finding the Fourth Proportional to 541,214.56, 747,026.22 and 314,903.80

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Solution

The fourth proportional to 541,214.56, 747,026.22 and 314,903.80 is: 434,654.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,214.56 : 747,026.22 = 314,903.80 : x
  2. Step 2: Convert to fraction form
    541,214.56/747,026.22 = 314,903.80/x
  3. Step 3: Cross multiply
    541,214.56x = 747,026.22 × 314,903.80
  4. Step 4: Simplify right side
    541,214.56x = 235,241,395,377.64
  5. Step 5: Solve for x
    x = 235,241,395,377.64/541,214.56
  6. Step 6: Final answer
    x = 434,654.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.