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Finding the Fourth Proportional to 548,813.17, 823,219.76 and 361,780.93

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Solution

The fourth proportional to 548,813.17, 823,219.76 and 361,780.93 is: 542,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,813.17 : 823,219.76 = 361,780.93 : x
  2. Step 2: Convert to fraction form
    548,813.17/823,219.76 = 361,780.93/x
  3. Step 3: Cross multiply
    548,813.17x = 823,219.76 × 361,780.93
  4. Step 4: Simplify right side
    548,813.17x = 297,825,210,367.18
  5. Step 5: Solve for x
    x = 297,825,210,367.18/548,813.17
  6. Step 6: Final answer
    x = 542,671.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.