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Finding the Fourth Proportional to 498,519.77, 687,918.42 and 294,532.00

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Solution

The fourth proportional to 498,519.77, 687,918.42 and 294,532.00 is: 406,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,519.77 : 687,918.42 = 294,532.00 : x
  2. Step 2: Convert to fraction form
    498,519.77/687,918.42 = 294,532.00/x
  3. Step 3: Cross multiply
    498,519.77x = 687,918.42 × 294,532.00
  4. Step 4: Simplify right side
    498,519.77x = 202,613,986,359.64
  5. Step 5: Solve for x
    x = 202,613,986,359.64/498,519.77
  6. Step 6: Final answer
    x = 406,431.20

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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.