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Finding the Fourth Proportional to 548,323.47, 822,499.31 and 260,067.76

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Solution

The fourth proportional to 548,323.47, 822,499.31 and 260,067.76 is: 390,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,323.47 : 822,499.31 = 260,067.76 : x
  2. Step 2: Convert to fraction form
    548,323.47/822,499.31 = 260,067.76/x
  3. Step 3: Cross multiply
    548,323.47x = 822,499.31 × 260,067.76
  4. Step 4: Simplify right side
    548,323.47x = 213,905,551,747.17
  5. Step 5: Solve for x
    x = 213,905,551,747.17/548,323.47
  6. Step 6: Final answer
    x = 390,108.33

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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.