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Finding the Fourth Proportional to 284,356.88, 426,491.58 and 94,820.54

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Solution

The fourth proportional to 284,356.88, 426,491.58 and 94,820.54 is: 142,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,356.88 : 426,491.58 = 94,820.54 : x
  2. Step 2: Convert to fraction form
    284,356.88/426,491.58 = 94,820.54/x
  3. Step 3: Cross multiply
    284,356.88x = 426,491.58 × 94,820.54
  4. Step 4: Simplify right side
    284,356.88x = 40,440,161,921.05
  5. Step 5: Solve for x
    x = 40,440,161,921.05/284,356.88
  6. Step 6: Final answer
    x = 142,216.22

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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.