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Finding the Fourth Proportional to 313,367.49, 470,225.79 and 169,270.38

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Solution

The fourth proportional to 313,367.49, 470,225.79 and 169,270.38 is: 253,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,367.49 : 470,225.79 = 169,270.38 : x
  2. Step 2: Convert to fraction form
    313,367.49/470,225.79 = 169,270.38/x
  3. Step 3: Cross multiply
    313,367.49x = 470,225.79 × 169,270.38
  4. Step 4: Simplify right side
    313,367.49x = 79,595,298,159.10
  5. Step 5: Solve for x
    x = 79,595,298,159.10/313,367.49
  6. Step 6: Final answer
    x = 253,999.86

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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.