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Finding the Fourth Proportional to 546,380.08, 754,480.37 and 342,781

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Solution

The fourth proportional to 546,380.08, 754,480.37 and 342,781 is: 473,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,380.08 : 754,480.37 = 342,781 : x
  2. Step 2: Convert to fraction form
    546,380.08/754,480.37 = 342,781/x
  3. Step 3: Cross multiply
    546,380.08x = 754,480.37 × 342,781
  4. Step 4: Simplify right side
    546,380.08x = 258,621,535,708.97
  5. Step 5: Solve for x
    x = 258,621,535,708.97/546,380.08
  6. Step 6: Final answer
    x = 473,336.32

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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.