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Finding the Fourth Proportional to 284,327.42, 426,348.52 and 94,721.13

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Solution

The fourth proportional to 284,327.42, 426,348.52 and 94,721.13 is: 142,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,327.42 : 426,348.52 = 94,721.13 : x
  2. Step 2: Convert to fraction form
    284,327.42/426,348.52 = 94,721.13/x
  3. Step 3: Cross multiply
    284,327.42x = 426,348.52 × 94,721.13
  4. Step 4: Simplify right side
    284,327.42x = 40,384,213,588.23
  5. Step 5: Solve for x
    x = 40,384,213,588.23/284,327.42
  6. Step 6: Final answer
    x = 142,034.19

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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.