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Finding the Fourth Proportional to 413,659.06, 570,787.32 and 232,336.24

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Solution

The fourth proportional to 413,659.06, 570,787.32 and 232,336.24 is: 320,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,659.06 : 570,787.32 = 232,336.24 : x
  2. Step 2: Convert to fraction form
    413,659.06/570,787.32 = 232,336.24/x
  3. Step 3: Cross multiply
    413,659.06x = 570,787.32 × 232,336.24
  4. Step 4: Simplify right side
    413,659.06x = 132,614,579,768.48
  5. Step 5: Solve for x
    x = 132,614,579,768.48/413,659.06
  6. Step 6: Final answer
    x = 320,589.09

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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.