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Finding the Fourth Proportional to 295,414.40, 442,603.20 and 242,537.60

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Solution

The fourth proportional to 295,414.40, 442,603.20 and 242,537.60 is: 363,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,414.40 : 442,603.20 = 242,537.60 : x
  2. Step 2: Convert to fraction form
    295,414.40/442,603.20 = 242,537.60/x
  3. Step 3: Cross multiply
    295,414.40x = 442,603.20 × 242,537.60
  4. Step 4: Simplify right side
    295,414.40x = 107,347,917,880.32
  5. Step 5: Solve for x
    x = 107,347,917,880.32/295,414.40
  6. Step 6: Final answer
    x = 363,380.79

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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.