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Finding the Fourth Proportional to 294,443.10, 441,664.65 and 194,715.90

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Solution

The fourth proportional to 294,443.10, 441,664.65 and 194,715.90 is: 292,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.10 : 441,664.65 = 194,715.90 : x
  2. Step 2: Convert to fraction form
    294,443.10/441,664.65 = 194,715.90/x
  3. Step 3: Cross multiply
    294,443.10x = 441,664.65 × 194,715.90
  4. Step 4: Simplify right side
    294,443.10x = 85,999,129,822.94
  5. Step 5: Solve for x
    x = 85,999,129,822.94/294,443.10
  6. Step 6: Final answer
    x = 292,073.85

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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.