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Finding the Fourth Proportional to 541,898.94, 747,788.54 and 296,834.96

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Solution

The fourth proportional to 541,898.94, 747,788.54 and 296,834.96 is: 409,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,898.94 : 747,788.54 = 296,834.96 : x
  2. Step 2: Convert to fraction form
    541,898.94/747,788.54 = 296,834.96/x
  3. Step 3: Cross multiply
    541,898.94x = 747,788.54 × 296,834.96
  4. Step 4: Simplify right side
    541,898.94x = 221,969,776,136.24
  5. Step 5: Solve for x
    x = 221,969,776,136.24/541,898.94
  6. Step 6: Final answer
    x = 409,614.71

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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.