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Finding the Fourth Proportional to 284,333.41, 426,131.97 and 115,657.93

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Solution

The fourth proportional to 284,333.41, 426,131.97 and 115,657.93 is: 173,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,333.41 : 426,131.97 = 115,657.93 : x
  2. Step 2: Convert to fraction form
    284,333.41/426,131.97 = 115,657.93/x
  3. Step 3: Cross multiply
    284,333.41x = 426,131.97 × 115,657.93
  4. Step 4: Simplify right side
    284,333.41x = 49,285,541,557.02
  5. Step 5: Solve for x
    x = 49,285,541,557.02/284,333.41
  6. Step 6: Final answer
    x = 173,337.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.