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Finding the Fourth Proportional to 284,401.08, 426,458.70 and 94,795.05

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Solution

The fourth proportional to 284,401.08, 426,458.70 and 94,795.05 is: 142,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,401.08 : 426,458.70 = 94,795.05 : x
  2. Step 2: Convert to fraction form
    284,401.08/426,458.70 = 94,795.05/x
  3. Step 3: Cross multiply
    284,401.08x = 426,458.70 × 94,795.05
  4. Step 4: Simplify right side
    284,401.08x = 40,426,173,789.44
  5. Step 5: Solve for x
    x = 40,426,173,789.44/284,401.08
  6. Step 6: Final answer
    x = 142,144.94

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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.