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Finding the Fourth Proportional to 294,758.44, 442,094.59 and 144,958.53

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Solution

The fourth proportional to 294,758.44, 442,094.59 and 144,958.53 is: 217,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,758.44 : 442,094.59 = 144,958.53 : x
  2. Step 2: Convert to fraction form
    294,758.44/442,094.59 = 144,958.53/x
  3. Step 3: Cross multiply
    294,758.44x = 442,094.59 × 144,958.53
  4. Step 4: Simplify right side
    294,758.44x = 64,085,381,887.35
  5. Step 5: Solve for x
    x = 64,085,381,887.35/294,758.44
  6. Step 6: Final answer
    x = 217,416.61

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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.