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Finding the Fourth Proportional to 600,768.74, 829,462.26 and 355,832.24

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Solution

The fourth proportional to 600,768.74, 829,462.26 and 355,832.24 is: 491,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,768.74 : 829,462.26 = 355,832.24 : x
  2. Step 2: Convert to fraction form
    600,768.74/829,462.26 = 355,832.24/x
  3. Step 3: Cross multiply
    600,768.74x = 829,462.26 × 355,832.24
  4. Step 4: Simplify right side
    600,768.74x = 295,149,413,971.26
  5. Step 5: Solve for x
    x = 295,149,413,971.26/600,768.74
  6. Step 6: Final answer
    x = 491,286.24

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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.