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Finding the Fourth Proportional to 548,622.90, 822,934.35 and 193,634.10

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Solution

The fourth proportional to 548,622.90, 822,934.35 and 193,634.10 is: 290,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,622.90 : 822,934.35 = 193,634.10 : x
  2. Step 2: Convert to fraction form
    548,622.90/822,934.35 = 193,634.10/x
  3. Step 3: Cross multiply
    548,622.90x = 822,934.35 × 193,634.10
  4. Step 4: Simplify right side
    548,622.90x = 159,348,152,221.34
  5. Step 5: Solve for x
    x = 159,348,152,221.34/548,622.90
  6. Step 6: Final answer
    x = 290,451.15

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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.