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Finding the Fourth Proportional to 497,133.14, 686,602.59 and 335,707.97

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Solution

The fourth proportional to 497,133.14, 686,602.59 and 335,707.97 is: 463,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,133.14 : 686,602.59 = 335,707.97 : x
  2. Step 2: Convert to fraction form
    497,133.14/686,602.59 = 335,707.97/x
  3. Step 3: Cross multiply
    497,133.14x = 686,602.59 × 335,707.97
  4. Step 4: Simplify right side
    497,133.14x = 230,497,961,685.64
  5. Step 5: Solve for x
    x = 230,497,961,685.64/497,133.14
  6. Step 6: Final answer
    x = 463,654.39

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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.