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Finding the Fourth Proportional to 297,643.56, 446,466.55 and 73,005.45

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Solution

The fourth proportional to 297,643.56, 446,466.55 and 73,005.45 is: 109,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,643.56 : 446,466.55 = 73,005.45 : x
  2. Step 2: Convert to fraction form
    297,643.56/446,466.55 = 73,005.45/x
  3. Step 3: Cross multiply
    297,643.56x = 446,466.55 × 73,005.45
  4. Step 4: Simplify right side
    297,643.56x = 32,594,489,160.36
  5. Step 5: Solve for x
    x = 32,594,489,160.36/297,643.56
  6. Step 6: Final answer
    x = 109,508.47

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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.