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Finding the Fourth Proportional to 297,713.72, 446,643.30 and 148,024.46

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Solution

The fourth proportional to 297,713.72, 446,643.30 and 148,024.46 is: 222,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.72 : 446,643.30 = 148,024.46 : x
  2. Step 2: Convert to fraction form
    297,713.72/446,643.30 = 148,024.46/x
  3. Step 3: Cross multiply
    297,713.72x = 446,643.30 × 148,024.46
  4. Step 4: Simplify right side
    297,713.72x = 66,114,133,295.12
  5. Step 5: Solve for x
    x = 66,114,133,295.12/297,713.72
  6. Step 6: Final answer
    x = 222,072.85

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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.