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Finding the Fourth Proportional to 541,314.57, 747,015.72 and 299,613.93

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Solution

The fourth proportional to 541,314.57, 747,015.72 and 299,613.93 is: 413,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,314.57 : 747,015.72 = 299,613.93 : x
  2. Step 2: Convert to fraction form
    541,314.57/747,015.72 = 299,613.93/x
  3. Step 3: Cross multiply
    541,314.57x = 747,015.72 × 299,613.93
  4. Step 4: Simplify right side
    541,314.57x = 223,816,315,640.98
  5. Step 5: Solve for x
    x = 223,816,315,640.98/541,314.57
  6. Step 6: Final answer
    x = 413,468.12

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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.