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Finding the Fourth Proportional to 294,825.80, 442,238.70 and 188,537.60

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Solution

The fourth proportional to 294,825.80, 442,238.70 and 188,537.60 is: 282,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,825.80 : 442,238.70 = 188,537.60 : x
  2. Step 2: Convert to fraction form
    294,825.80/442,238.70 = 188,537.60/x
  3. Step 3: Cross multiply
    294,825.80x = 442,238.70 × 188,537.60
  4. Step 4: Simplify right side
    294,825.80x = 83,378,623,125.12
  5. Step 5: Solve for x
    x = 83,378,623,125.12/294,825.80
  6. Step 6: Final answer
    x = 282,806.40

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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.