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Finding the Fourth Proportional to 297,398.94, 445,865.13 and 147,533.82

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Solution

The fourth proportional to 297,398.94, 445,865.13 and 147,533.82 is: 221,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,398.94 : 445,865.13 = 147,533.82 : x
  2. Step 2: Convert to fraction form
    297,398.94/445,865.13 = 147,533.82/x
  3. Step 3: Cross multiply
    297,398.94x = 445,865.13 × 147,533.82
  4. Step 4: Simplify right side
    297,398.94x = 65,780,185,833.70
  5. Step 5: Solve for x
    x = 65,780,185,833.70/297,398.94
  6. Step 6: Final answer
    x = 221,185.00

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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.