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Finding the Fourth Proportional to 427,960.68, 591,200.91 and 341,806.54

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Solution

The fourth proportional to 427,960.68, 591,200.91 and 341,806.54 is: 472,184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,960.68 : 591,200.91 = 341,806.54 : x
  2. Step 2: Convert to fraction form
    427,960.68/591,200.91 = 341,806.54/x
  3. Step 3: Cross multiply
    427,960.68x = 591,200.91 × 341,806.54
  4. Step 4: Simplify right side
    427,960.68x = 202,076,337,491.95
  5. Step 5: Solve for x
    x = 202,076,337,491.95/427,960.68
  6. Step 6: Final answer
    x = 472,184.35

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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.