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Finding the Fourth Proportional to 322,804.98, 484,209.90 and 112,442.58

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Solution

The fourth proportional to 322,804.98, 484,209.90 and 112,442.58 is: 168,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,804.98 : 484,209.90 = 112,442.58 : x
  2. Step 2: Convert to fraction form
    322,804.98/484,209.90 = 112,442.58/x
  3. Step 3: Cross multiply
    322,804.98x = 484,209.90 × 112,442.58
  4. Step 4: Simplify right side
    322,804.98x = 54,445,810,417.54
  5. Step 5: Solve for x
    x = 54,445,810,417.54/322,804.98
  6. Step 6: Final answer
    x = 168,664.72

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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.