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Finding the Fourth Proportional to 295,310.70, 407,502.60 and 164,478.37

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Solution

The fourth proportional to 295,310.70, 407,502.60 and 164,478.37 is: 226,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,310.70 : 407,502.60 = 164,478.37 : x
  2. Step 2: Convert to fraction form
    295,310.70/407,502.60 = 164,478.37/x
  3. Step 3: Cross multiply
    295,310.70x = 407,502.60 × 164,478.37
  4. Step 4: Simplify right side
    295,310.70x = 67,025,363,418.76
  5. Step 5: Solve for x
    x = 67,025,363,418.76/295,310.70
  6. Step 6: Final answer
    x = 226,965.58

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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.