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Finding the Fourth Proportional to 337,134.48, 465,259.76 and 193,894.67

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Solution

The fourth proportional to 337,134.48, 465,259.76 and 193,894.67 is: 267,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,134.48 : 465,259.76 = 193,894.67 : x
  2. Step 2: Convert to fraction form
    337,134.48/465,259.76 = 193,894.67/x
  3. Step 3: Cross multiply
    337,134.48x = 465,259.76 × 193,894.67
  4. Step 4: Simplify right side
    337,134.48x = 90,211,384,333.71
  5. Step 5: Solve for x
    x = 90,211,384,333.71/337,134.48
  6. Step 6: Final answer
    x = 267,582.79

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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.