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Finding the Fourth Proportional to 299,804.76, 413,730.72 and 165,668.76

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Solution

The fourth proportional to 299,804.76, 413,730.72 and 165,668.76 is: 228,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,804.76 : 413,730.72 = 165,668.76 : x
  2. Step 2: Convert to fraction form
    299,804.76/413,730.72 = 165,668.76/x
  3. Step 3: Cross multiply
    299,804.76x = 413,730.72 × 165,668.76
  4. Step 4: Simplify right side
    299,804.76x = 68,542,255,356.31
  5. Step 5: Solve for x
    x = 68,542,255,356.31/299,804.76
  6. Step 6: Final answer
    x = 228,622.97

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1.5x scale

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.