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Finding the Fourth Proportional to 284,323.54, 426,632.91 and 115,967.38

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Solution

The fourth proportional to 284,323.54, 426,632.91 and 115,967.38 is: 174,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,323.54 : 426,632.91 = 115,967.38 : x
  2. Step 2: Convert to fraction form
    284,323.54/426,632.91 = 115,967.38/x
  3. Step 3: Cross multiply
    284,323.54x = 426,632.91 × 115,967.38
  4. Step 4: Simplify right side
    284,323.54x = 49,475,500,794.48
  5. Step 5: Solve for x
    x = 49,475,500,794.48/284,323.54
  6. Step 6: Final answer
    x = 174,011.27

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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.