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Finding the Fourth Proportional to 541,911.12, 747,827.55 and 300,192.94

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Solution

The fourth proportional to 541,911.12, 747,827.55 and 300,192.94 is: 414,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,911.12 : 747,827.55 = 300,192.94 : x
  2. Step 2: Convert to fraction form
    541,911.12/747,827.55 = 300,192.94/x
  3. Step 3: Cross multiply
    541,911.12x = 747,827.55 × 300,192.94
  4. Step 4: Simplify right side
    541,911.12x = 224,492,550,847.50
  5. Step 5: Solve for x
    x = 224,492,550,847.50/541,911.12
  6. Step 6: Final answer
    x = 414,260.83

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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.