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Finding the Fourth Proportional to 413,079.94, 570,004.05 and 231,754.15

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Solution

The fourth proportional to 413,079.94, 570,004.05 and 231,754.15 is: 319,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,079.94 : 570,004.05 = 231,754.15 : x
  2. Step 2: Convert to fraction form
    413,079.94/570,004.05 = 231,754.15/x
  3. Step 3: Cross multiply
    413,079.94x = 570,004.05 × 231,754.15
  4. Step 4: Simplify right side
    413,079.94x = 132,100,804,104.31
  5. Step 5: Solve for x
    x = 132,100,804,104.31/413,079.94
  6. Step 6: Final answer
    x = 319,794.77

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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.