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Finding the Fourth Proportional to 294,817, 442,294.62 and 97,825

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Solution

The fourth proportional to 294,817, 442,294.62 and 97,825 is: 146,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,817 : 442,294.62 = 97,825 : x
  2. Step 2: Convert to fraction form
    294,817/442,294.62 = 97,825/x
  3. Step 3: Cross multiply
    294,817x = 442,294.62 × 97,825
  4. Step 4: Simplify right side
    294,817x = 43,267,471,201.50
  5. Step 5: Solve for x
    x = 43,267,471,201.50/294,817
  6. Step 6: Final answer
    x = 146,760.44

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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.