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Finding the Fourth Proportional to 517,022.96, 713,010.12 and 335,540.88

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Solution

The fourth proportional to 517,022.96, 713,010.12 and 335,540.88 is: 462,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,022.96 : 713,010.12 = 335,540.88 : x
  2. Step 2: Convert to fraction form
    517,022.96/713,010.12 = 335,540.88/x
  3. Step 3: Cross multiply
    517,022.96x = 713,010.12 × 335,540.88
  4. Step 4: Simplify right side
    517,022.96x = 239,244,043,113.71
  5. Step 5: Solve for x
    x = 239,244,043,113.71/517,022.96
  6. Step 6: Final answer
    x = 462,733.89

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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.