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Finding the Fourth Proportional to 548,498.61, 822,600.50 and 193,465.89

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Solution

The fourth proportional to 548,498.61, 822,600.50 and 193,465.89 is: 290,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,498.61 : 822,600.50 = 193,465.89 : x
  2. Step 2: Convert to fraction form
    548,498.61/822,600.50 = 193,465.89/x
  3. Step 3: Cross multiply
    548,498.61x = 822,600.50 × 193,465.89
  4. Step 4: Simplify right side
    548,498.61x = 159,145,136,879.62
  5. Step 5: Solve for x
    x = 159,145,136,879.62/548,498.61
  6. Step 6: Final answer
    x = 290,146.84

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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.