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Finding the Fourth Proportional to 294,185.92, 441,283.74 and 142,294.72

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Solution

The fourth proportional to 294,185.92, 441,283.74 and 142,294.72 is: 213,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,185.92 : 441,283.74 = 142,294.72 : x
  2. Step 2: Convert to fraction form
    294,185.92/441,283.74 = 142,294.72/x
  3. Step 3: Cross multiply
    294,185.92x = 441,283.74 × 142,294.72
  4. Step 4: Simplify right side
    294,185.92x = 62,792,346,223.85
  5. Step 5: Solve for x
    x = 62,792,346,223.85/294,185.92
  6. Step 6: Final answer
    x = 213,444.43

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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.