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Finding the Fourth Proportional to 297,950.86, 446,922.51 and 73,314.10

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Solution

The fourth proportional to 297,950.86, 446,922.51 and 73,314.10 is: 109,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,950.86 : 446,922.51 = 73,314.10 : x
  2. Step 2: Convert to fraction form
    297,950.86/446,922.51 = 73,314.10/x
  3. Step 3: Cross multiply
    297,950.86x = 446,922.51 × 73,314.10
  4. Step 4: Simplify right side
    297,950.86x = 32,765,721,590.39
  5. Step 5: Solve for x
    x = 32,765,721,590.39/297,950.86
  6. Step 6: Final answer
    x = 109,970.22

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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.