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Finding the Fourth Proportional to 548,521.30, 822,453.90 and 282,800.80

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Solution

The fourth proportional to 548,521.30, 822,453.90 and 282,800.80 is: 424,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,521.30 : 822,453.90 = 282,800.80 : x
  2. Step 2: Convert to fraction form
    548,521.30/822,453.90 = 282,800.80/x
  3. Step 3: Cross multiply
    548,521.30x = 822,453.90 × 282,800.80
  4. Step 4: Simplify right side
    548,521.30x = 232,590,620,883.12
  5. Step 5: Solve for x
    x = 232,590,620,883.12/548,521.30
  6. Step 6: Final answer
    x = 424,032.07

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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.