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Finding the Fourth Proportional to 516,997.47, 713,105.84 and 335,384.84

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Solution

The fourth proportional to 516,997.47, 713,105.84 and 335,384.84 is: 462,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,997.47 : 713,105.84 = 335,384.84 : x
  2. Step 2: Convert to fraction form
    516,997.47/713,105.84 = 335,384.84/x
  3. Step 3: Cross multiply
    516,997.47x = 713,105.84 × 335,384.84
  4. Step 4: Simplify right side
    516,997.47x = 239,164,888,051.47
  5. Step 5: Solve for x
    x = 239,164,888,051.47/516,997.47
  6. Step 6: Final answer
    x = 462,603.59

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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.