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Finding the Fourth Proportional to 294,758.64, 442,224.08 and 95,074.61

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Solution

The fourth proportional to 294,758.64, 442,224.08 and 95,074.61 is: 142,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,758.64 : 442,224.08 = 95,074.61 : x
  2. Step 2: Convert to fraction form
    294,758.64/442,224.08 = 95,074.61/x
  3. Step 3: Cross multiply
    294,758.64x = 442,224.08 × 95,074.61
  4. Step 4: Simplify right side
    294,758.64x = 42,044,280,595.36
  5. Step 5: Solve for x
    x = 42,044,280,595.36/294,758.64
  6. Step 6: Final answer
    x = 142,639.69

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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.