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Finding the Fourth Proportional to 468,399.66, 646,404.07 and 284,575.66

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Solution

The fourth proportional to 468,399.66, 646,404.07 and 284,575.66 is: 392,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,399.66 : 646,404.07 = 284,575.66 : x
  2. Step 2: Convert to fraction form
    468,399.66/646,404.07 = 284,575.66/x
  3. Step 3: Cross multiply
    468,399.66x = 646,404.07 × 284,575.66
  4. Step 4: Simplify right side
    468,399.66x = 183,950,864,846.94
  5. Step 5: Solve for x
    x = 183,950,864,846.94/468,399.66
  6. Step 6: Final answer
    x = 392,722.03

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1.5x scale

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.