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Finding the Fourth Proportional to 309,674.41, 464,400.16 and 107,215.51

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Solution

The fourth proportional to 309,674.41, 464,400.16 and 107,215.51 is: 160,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,674.41 : 464,400.16 = 107,215.51 : x
  2. Step 2: Convert to fraction form
    309,674.41/464,400.16 = 107,215.51/x
  3. Step 3: Cross multiply
    309,674.41x = 464,400.16 × 107,215.51
  4. Step 4: Simplify right side
    309,674.41x = 49,790,899,998.48
  5. Step 5: Solve for x
    x = 49,790,899,998.48/309,674.41
  6. Step 6: Final answer
    x = 160,784.68

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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.