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Finding the Fourth Proportional to 498,606, 687,727.10 and 337,390.08

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Solution

The fourth proportional to 498,606, 687,727.10 and 337,390.08 is: 465,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,606 : 687,727.10 = 337,390.08 : x
  2. Step 2: Convert to fraction form
    498,606/687,727.10 = 337,390.08/x
  3. Step 3: Cross multiply
    498,606x = 687,727.10 × 337,390.08
  4. Step 4: Simplify right side
    498,606x = 232,032,301,287.17
  5. Step 5: Solve for x
    x = 232,032,301,287.17/498,606
  6. Step 6: Final answer
    x = 465,362.03

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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.