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Finding the Fourth Proportional to 541,457.52, 812,180.52 and 208,800.24

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Solution

The fourth proportional to 541,457.52, 812,180.52 and 208,800.24 is: 313,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,457.52 : 812,180.52 = 208,800.24 : x
  2. Step 2: Convert to fraction form
    541,457.52/812,180.52 = 208,800.24/x
  3. Step 3: Cross multiply
    541,457.52x = 812,180.52 × 208,800.24
  4. Step 4: Simplify right side
    541,457.52x = 169,583,487,499.33
  5. Step 5: Solve for x
    x = 169,583,487,499.33/541,457.52
  6. Step 6: Final answer
    x = 313,198.14

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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.