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Finding the Fourth Proportional to 294,653.44, 442,008.65 and 117,120.61

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Solution

The fourth proportional to 294,653.44, 442,008.65 and 117,120.61 is: 175,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,653.44 : 442,008.65 = 117,120.61 : x
  2. Step 2: Convert to fraction form
    294,653.44/442,008.65 = 117,120.61/x
  3. Step 3: Cross multiply
    294,653.44x = 442,008.65 × 117,120.61
  4. Step 4: Simplify right side
    294,653.44x = 51,768,322,713.28
  5. Step 5: Solve for x
    x = 51,768,322,713.28/294,653.44
  6. Step 6: Final answer
    x = 175,692.24

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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.