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Finding the Fourth Proportional to 517,231.60, 713,768.42 and 299,449.46

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Solution

The fourth proportional to 517,231.60, 713,768.42 and 299,449.46 is: 413,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,231.60 : 713,768.42 = 299,449.46 : x
  2. Step 2: Convert to fraction form
    517,231.60/713,768.42 = 299,449.46/x
  3. Step 3: Cross multiply
    517,231.60x = 713,768.42 × 299,449.46
  4. Step 4: Simplify right side
    517,231.60x = 213,737,562,867.96
  5. Step 5: Solve for x
    x = 213,737,562,867.96/517,231.60
  6. Step 6: Final answer
    x = 413,233.77

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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.