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Finding the Fourth Proportional to 309,673.41, 464,398.66 and 107,214.51

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Solution

The fourth proportional to 309,673.41, 464,398.66 and 107,214.51 is: 160,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,673.41 : 464,398.66 = 107,214.51 : x
  2. Step 2: Convert to fraction form
    309,673.41/464,398.66 = 107,214.51/x
  3. Step 3: Cross multiply
    309,673.41x = 464,398.66 × 107,214.51
  4. Step 4: Simplify right side
    309,673.41x = 49,790,274,776.56
  5. Step 5: Solve for x
    x = 49,790,274,776.56/309,673.41
  6. Step 6: Final answer
    x = 160,783.18

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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.