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Finding the Fourth Proportional to 297,223.56, 445,823.82 and 75,613.32

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Solution

The fourth proportional to 297,223.56, 445,823.82 and 75,613.32 is: 113,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,223.56 : 445,823.82 = 75,613.32 : x
  2. Step 2: Convert to fraction form
    297,223.56/445,823.82 = 75,613.32/x
  3. Step 3: Cross multiply
    297,223.56x = 445,823.82 × 75,613.32
  4. Step 4: Simplify right side
    297,223.56x = 33,710,219,165.28
  5. Step 5: Solve for x
    x = 33,710,219,165.28/297,223.56
  6. Step 6: Final answer
    x = 113,417.05

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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.