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Finding the Fourth Proportional to 542,683.53, 748,949.28 and 301,043.96

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Solution

The fourth proportional to 542,683.53, 748,949.28 and 301,043.96 is: 415,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,683.53 : 748,949.28 = 301,043.96 : x
  2. Step 2: Convert to fraction form
    542,683.53/748,949.28 = 301,043.96/x
  3. Step 3: Cross multiply
    542,683.53x = 748,949.28 × 301,043.96
  4. Step 4: Simplify right side
    542,683.53x = 225,466,655,025.25
  5. Step 5: Solve for x
    x = 225,466,655,025.25/542,683.53
  6. Step 6: Final answer
    x = 415,466.18

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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.