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Finding the Fourth Proportional to 516,996.47, 713,104.46 and 335,383.84

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Solution

The fourth proportional to 516,996.47, 713,104.46 and 335,383.84 is: 462,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,996.47 : 713,104.46 = 335,383.84 : x
  2. Step 2: Convert to fraction form
    516,996.47/713,104.46 = 335,383.84/x
  3. Step 3: Cross multiply
    516,996.47x = 713,104.46 × 335,383.84
  4. Step 4: Simplify right side
    516,996.47x = 239,163,712,588.08
  5. Step 5: Solve for x
    x = 239,163,712,588.08/516,996.47
  6. Step 6: Final answer
    x = 462,602.21

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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.