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Finding the Fourth Proportional to 541,196.56, 747,001.38 and 314,885.80

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Solution

The fourth proportional to 541,196.56, 747,001.38 and 314,885.80 is: 434,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,196.56 : 747,001.38 = 314,885.80 : x
  2. Step 2: Convert to fraction form
    541,196.56/747,001.38 = 314,885.80/x
  3. Step 3: Cross multiply
    541,196.56x = 747,001.38 × 314,885.80
  4. Step 4: Simplify right side
    541,196.56x = 235,220,127,142.40
  5. Step 5: Solve for x
    x = 235,220,127,142.40/541,196.56
  6. Step 6: Final answer
    x = 434,629.75

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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.