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Finding the Fourth Proportional to 542,792.50, 749,057.28 and 301,079.18

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Solution

The fourth proportional to 542,792.50, 749,057.28 and 301,079.18 is: 415,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,792.50 : 749,057.28 = 301,079.18 : x
  2. Step 2: Convert to fraction form
    542,792.50/749,057.28 = 301,079.18/x
  3. Step 3: Cross multiply
    542,792.50x = 749,057.28 × 301,079.18
  4. Step 4: Simplify right side
    542,792.50x = 225,525,551,635.43
  5. Step 5: Solve for x
    x = 225,525,551,635.43/542,792.50
  6. Step 6: Final answer
    x = 415,491.28

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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.