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Finding the Fourth Proportional to 295,309.70, 407,501.22 and 164,477.37

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Solution

The fourth proportional to 295,309.70, 407,501.22 and 164,477.37 is: 226,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,309.70 : 407,501.22 = 164,477.37 : x
  2. Step 2: Convert to fraction form
    295,309.70/407,501.22 = 164,477.37/x
  3. Step 3: Cross multiply
    295,309.70x = 407,501.22 × 164,477.37
  4. Step 4: Simplify right side
    295,309.70x = 67,024,727,910.40
  5. Step 5: Solve for x
    x = 67,024,727,910.40/295,309.70
  6. Step 6: Final answer
    x = 226,964.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.