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Finding the Fourth Proportional to 548,705.52, 823,320.72 and 193,886.64

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Solution

The fourth proportional to 548,705.52, 823,320.72 and 193,886.64 is: 290,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,705.52 : 823,320.72 = 193,886.64 : x
  2. Step 2: Convert to fraction form
    548,705.52/823,320.72 = 193,886.64/x
  3. Step 3: Cross multiply
    548,705.52x = 823,320.72 × 193,886.64
  4. Step 4: Simplify right side
    548,705.52x = 159,630,888,043.18
  5. Step 5: Solve for x
    x = 159,630,888,043.18/548,705.52
  6. Step 6: Final answer
    x = 290,922.69

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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.