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Finding the Fourth Proportional to 294,205.70, 441,490.95 and 154,064.90

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Solution

The fourth proportional to 294,205.70, 441,490.95 and 154,064.90 is: 231,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,205.70 : 441,490.95 = 154,064.90 : x
  2. Step 2: Convert to fraction form
    294,205.70/441,490.95 = 154,064.90/x
  3. Step 3: Cross multiply
    294,205.70x = 441,490.95 × 154,064.90
  4. Step 4: Simplify right side
    294,205.70x = 68,018,259,062.66
  5. Step 5: Solve for x
    x = 68,018,259,062.66/294,205.70
  6. Step 6: Final answer
    x = 231,192.87

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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.