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Finding the Fourth Proportional to 284,345.26, 426,374.88 and 94,738.48

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Solution

The fourth proportional to 284,345.26, 426,374.88 and 94,738.48 is: 142,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,345.26 : 426,374.88 = 94,738.48 : x
  2. Step 2: Convert to fraction form
    284,345.26/426,374.88 = 94,738.48/x
  3. Step 3: Cross multiply
    284,345.26x = 426,374.88 × 94,738.48
  4. Step 4: Simplify right side
    284,345.26x = 40,394,108,041.38
  5. Step 5: Solve for x
    x = 40,394,108,041.38/284,345.26
  6. Step 6: Final answer
    x = 142,060.07

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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.