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Finding the Fourth Proportional to 297,436.32, 446,032.08 and 147,621.60

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Solution

The fourth proportional to 297,436.32, 446,032.08 and 147,621.60 is: 221,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,436.32 : 446,032.08 = 147,621.60 : x
  2. Step 2: Convert to fraction form
    297,436.32/446,032.08 = 147,621.60/x
  3. Step 3: Cross multiply
    297,436.32x = 446,032.08 × 147,621.60
  4. Step 4: Simplify right side
    297,436.32x = 65,843,969,300.93
  5. Step 5: Solve for x
    x = 65,843,969,300.93/297,436.32
  6. Step 6: Final answer
    x = 221,371.65

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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.