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Finding the Fourth Proportional to 293,530.10, 405,078.10 and 164,478.20

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Solution

The fourth proportional to 293,530.10, 405,078.10 and 164,478.20 is: 226,983.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,530.10 : 405,078.10 = 164,478.20 : x
  2. Step 2: Convert to fraction form
    293,530.10/405,078.10 = 164,478.20/x
  3. Step 3: Cross multiply
    293,530.10x = 405,078.10 × 164,478.20
  4. Step 4: Simplify right side
    293,530.10x = 66,626,514,310.83
  5. Step 5: Solve for x
    x = 66,626,514,310.83/293,530.10
  6. Step 6: Final answer
    x = 226,983.59

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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.