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Finding the Fourth Proportional to 284,223.78, 426,377.79 and 94,622.22

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Solution

The fourth proportional to 284,223.78, 426,377.79 and 94,622.22 is: 141,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,223.78 : 426,377.79 = 94,622.22 : x
  2. Step 2: Convert to fraction form
    284,223.78/426,377.79 = 94,622.22/x
  3. Step 3: Cross multiply
    284,223.78x = 426,377.79 × 94,622.22
  4. Step 4: Simplify right side
    284,223.78x = 40,344,813,048.49
  5. Step 5: Solve for x
    x = 40,344,813,048.49/284,223.78
  6. Step 6: Final answer
    x = 141,947.35

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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.