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Finding the Fourth Proportional to 600,140.49, 828,167.40 and 342,073.41

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Solution

The fourth proportional to 600,140.49, 828,167.40 and 342,073.41 is: 472,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,140.49 : 828,167.40 = 342,073.41 : x
  2. Step 2: Convert to fraction form
    600,140.49/828,167.40 = 342,073.41/x
  3. Step 3: Cross multiply
    600,140.49x = 828,167.40 × 342,073.41
  4. Step 4: Simplify right side
    600,140.49x = 283,294,046,568.83
  5. Step 5: Solve for x
    x = 283,294,046,568.83/600,140.49
  6. Step 6: Final answer
    x = 472,046.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.