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Finding the Fourth Proportional to 382,843.52, 571,462.24 and 355,088.96

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Solution

The fourth proportional to 382,843.52, 571,462.24 and 355,088.96 is: 530,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,843.52 : 571,462.24 = 355,088.96 : x
  2. Step 2: Convert to fraction form
    382,843.52/571,462.24 = 355,088.96/x
  3. Step 3: Cross multiply
    382,843.52x = 571,462.24 × 355,088.96
  4. Step 4: Simplify right side
    382,843.52x = 202,919,932,480.87
  5. Step 5: Solve for x
    x = 202,919,932,480.87/382,843.52
  6. Step 6: Final answer
    x = 530,033.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.