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Finding the Fourth Proportional to 294,658.02, 442,118.16 and 154,383.84

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Solution

The fourth proportional to 294,658.02, 442,118.16 and 154,383.84 is: 231,644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658.02 : 442,118.16 = 154,383.84 : x
  2. Step 2: Convert to fraction form
    294,658.02/442,118.16 = 154,383.84/x
  3. Step 3: Cross multiply
    294,658.02x = 442,118.16 × 154,383.84
  4. Step 4: Simplify right side
    294,658.02x = 68,255,899,274.53
  5. Step 5: Solve for x
    x = 68,255,899,274.53/294,658.02
  6. Step 6: Final answer
    x = 231,644.46

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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.