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Finding the Fourth Proportional to 474,137.92, 711,243.60 and 158,596.48

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Solution

The fourth proportional to 474,137.92, 711,243.60 and 158,596.48 is: 237,907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,137.92 : 711,243.60 = 158,596.48 : x
  2. Step 2: Convert to fraction form
    474,137.92/711,243.60 = 158,596.48/x
  3. Step 3: Cross multiply
    474,137.92x = 711,243.60 × 158,596.48
  4. Step 4: Simplify right side
    474,137.92x = 112,800,731,382.53
  5. Step 5: Solve for x
    x = 112,800,731,382.53/474,137.92
  6. Step 6: Final answer
    x = 237,907.00

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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.