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Finding the Fourth Proportional to 337,038.52, 465,323.52 and 214,600

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Solution

The fourth proportional to 337,038.52, 465,323.52 and 214,600 is: 296,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,038.52 : 465,323.52 = 214,600 : x
  2. Step 2: Convert to fraction form
    337,038.52/465,323.52 = 214,600/x
  3. Step 3: Cross multiply
    337,038.52x = 465,323.52 × 214,600
  4. Step 4: Simplify right side
    337,038.52x = 99,858,427,392
  5. Step 5: Solve for x
    x = 99,858,427,392/337,038.52
  6. Step 6: Final answer
    x = 296,281.94

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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.