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Finding the Fourth Proportional to 313,173.08, 470,634.43 and 293,008.94

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Solution

The fourth proportional to 313,173.08, 470,634.43 and 293,008.94 is: 440,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,173.08 : 470,634.43 = 293,008.94 : x
  2. Step 2: Convert to fraction form
    313,173.08/470,634.43 = 293,008.94/x
  3. Step 3: Cross multiply
    313,173.08x = 470,634.43 × 293,008.94
  4. Step 4: Simplify right side
    313,173.08x = 137,900,093,996.76
  5. Step 5: Solve for x
    x = 137,900,093,996.76/313,173.08
  6. Step 6: Final answer
    x = 440,331.89

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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.