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Finding the Fourth Proportional to 294,658.44, 442,016.15 and 117,125.61

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Solution

The fourth proportional to 294,658.44, 442,016.15 and 117,125.61 is: 175,699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658.44 : 442,016.15 = 117,125.61 : x
  2. Step 2: Convert to fraction form
    294,658.44/442,016.15 = 117,125.61/x
  3. Step 3: Cross multiply
    294,658.44x = 442,016.15 × 117,125.61
  4. Step 4: Simplify right side
    294,658.44x = 51,771,411,198.60
  5. Step 5: Solve for x
    x = 51,771,411,198.60/294,658.44
  6. Step 6: Final answer
    x = 175,699.74

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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.