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Finding the Fourth Proportional to 511,059.24, 705,232.62 and 293,221.74

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Solution

The fourth proportional to 511,059.24, 705,232.62 and 293,221.74 is: 404,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,059.24 : 705,232.62 = 293,221.74 : x
  2. Step 2: Convert to fraction form
    511,059.24/705,232.62 = 293,221.74/x
  3. Step 3: Cross multiply
    511,059.24x = 705,232.62 × 293,221.74
  4. Step 4: Simplify right side
    511,059.24x = 206,789,535,941.16
  5. Step 5: Solve for x
    x = 206,789,535,941.16/511,059.24
  6. Step 6: Final answer
    x = 404,629.29

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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.