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Finding the Fourth Proportional to 600,422.63, 900,743.07 and 284,876.60

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Solution

The fourth proportional to 600,422.63, 900,743.07 and 284,876.60 is: 427,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,422.63 : 900,743.07 = 284,876.60 : x
  2. Step 2: Convert to fraction form
    600,422.63/900,743.07 = 284,876.60/x
  3. Step 3: Cross multiply
    600,422.63x = 900,743.07 × 284,876.60
  4. Step 4: Simplify right side
    600,422.63x = 256,600,623,255.16
  5. Step 5: Solve for x
    x = 256,600,623,255.16/600,422.63
  6. Step 6: Final answer
    x = 427,366.68

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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.