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Finding the Fourth Proportional to 294,821.80, 442,232.70 and 188,533.60

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Solution

The fourth proportional to 294,821.80, 442,232.70 and 188,533.60 is: 282,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,821.80 : 442,232.70 = 188,533.60 : x
  2. Step 2: Convert to fraction form
    294,821.80/442,232.70 = 188,533.60/x
  3. Step 3: Cross multiply
    294,821.80x = 442,232.70 × 188,533.60
  4. Step 4: Simplify right side
    294,821.80x = 83,375,722,968.72
  5. Step 5: Solve for x
    x = 83,375,722,968.72/294,821.80
  6. Step 6: Final answer
    x = 282,800.40

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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.