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Finding the Fourth Proportional to 548,729.58, 822,492.24 and 282,504.26

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Solution

The fourth proportional to 548,729.58, 822,492.24 and 282,504.26 is: 423,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,729.58 : 822,492.24 = 282,504.26 : x
  2. Step 2: Convert to fraction form
    548,729.58/822,492.24 = 282,504.26/x
  3. Step 3: Cross multiply
    548,729.58x = 822,492.24 × 282,504.26
  4. Step 4: Simplify right side
    548,729.58x = 232,357,561,616.94
  5. Step 5: Solve for x
    x = 232,357,561,616.94/548,729.58
  6. Step 6: Final answer
    x = 423,446.39

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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.