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Finding the Fourth Proportional to 294,820, 442,299.12 and 97,828

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Solution

The fourth proportional to 294,820, 442,299.12 and 97,828 is: 146,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,820 : 442,299.12 = 97,828 : x
  2. Step 2: Convert to fraction form
    294,820/442,299.12 = 97,828/x
  3. Step 3: Cross multiply
    294,820x = 442,299.12 × 97,828
  4. Step 4: Simplify right side
    294,820x = 43,269,238,311.36
  5. Step 5: Solve for x
    x = 43,269,238,311.36/294,820
  6. Step 6: Final answer
    x = 146,764.94

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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.