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Finding the Fourth Proportional to 547,107.38, 822,104.32 and 294,574.58

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Solution

The fourth proportional to 547,107.38, 822,104.32 and 294,574.58 is: 442,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,107.38 : 822,104.32 = 294,574.58 : x
  2. Step 2: Convert to fraction form
    547,107.38/822,104.32 = 294,574.58/x
  3. Step 3: Cross multiply
    547,107.38x = 822,104.32 × 294,574.58
  4. Step 4: Simplify right side
    547,107.38x = 242,171,034,780.19
  5. Step 5: Solve for x
    x = 242,171,034,780.19/547,107.38
  6. Step 6: Final answer
    x = 442,638.95

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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.