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Finding the Fourth Proportional to 516,999.72, 713,108.94 and 335,387.10

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Solution

The fourth proportional to 516,999.72, 713,108.94 and 335,387.10 is: 462,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,999.72 : 713,108.94 = 335,387.10 : x
  2. Step 2: Convert to fraction form
    516,999.72/713,108.94 = 335,387.10/x
  3. Step 3: Cross multiply
    516,999.72x = 713,108.94 × 335,387.10
  4. Step 4: Simplify right side
    516,999.72x = 239,167,539,370.67
  5. Step 5: Solve for x
    x = 239,167,539,370.67/516,999.72
  6. Step 6: Final answer
    x = 462,606.71

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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.