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Finding the Fourth Proportional to 294,806.48, 442,166.52 and 145,006.56

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Solution

The fourth proportional to 294,806.48, 442,166.52 and 145,006.56 is: 217,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,806.48 : 442,166.52 = 145,006.56 : x
  2. Step 2: Convert to fraction form
    294,806.48/442,166.52 = 145,006.56/x
  3. Step 3: Cross multiply
    294,806.48x = 442,166.52 × 145,006.56
  4. Step 4: Simplify right side
    294,806.48x = 64,117,046,012.37
  5. Step 5: Solve for x
    x = 64,117,046,012.37/294,806.48
  6. Step 6: Final answer
    x = 217,488.59

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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.