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Finding the Fourth Proportional to 548,823.52, 822,634.74 and 282,600.01

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Solution

The fourth proportional to 548,823.52, 822,634.74 and 282,600.01 is: 423,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,823.52 : 822,634.74 = 282,600.01 : x
  2. Step 2: Convert to fraction form
    548,823.52/822,634.74 = 282,600.01/x
  3. Step 3: Cross multiply
    548,823.52x = 822,634.74 × 282,600.01
  4. Step 4: Simplify right side
    548,823.52x = 232,476,585,750.35
  5. Step 5: Solve for x
    x = 232,476,585,750.35/548,823.52
  6. Step 6: Final answer
    x = 423,590.79

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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.