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Finding the Fourth Proportional to 538,710.24, 743,424.94 and 297,001.38

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Solution

The fourth proportional to 538,710.24, 743,424.94 and 297,001.38 is: 409,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,710.24 : 743,424.94 = 297,001.38 : x
  2. Step 2: Convert to fraction form
    538,710.24/743,424.94 = 297,001.38/x
  3. Step 3: Cross multiply
    538,710.24x = 743,424.94 × 297,001.38
  4. Step 4: Simplify right side
    538,710.24x = 220,798,233,106.42
  5. Step 5: Solve for x
    x = 220,798,233,106.42/538,710.24
  6. Step 6: Final answer
    x = 409,864.56

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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.