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Finding the Fourth Proportional to 309,524.32, 464,297.48 and 99,134.92

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Solution

The fourth proportional to 309,524.32, 464,297.48 and 99,134.92 is: 148,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,524.32 : 464,297.48 = 99,134.92 : x
  2. Step 2: Convert to fraction form
    309,524.32/464,297.48 = 99,134.92/x
  3. Step 3: Cross multiply
    309,524.32x = 464,297.48 × 99,134.92
  4. Step 4: Simplify right side
    309,524.32x = 46,028,093,536.00
  5. Step 5: Solve for x
    x = 46,028,093,536.00/309,524.32
  6. Step 6: Final answer
    x = 148,705.90

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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.