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Finding the Fourth Proportional to 542,052.68, 748,007.52 and 297,036

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Solution

The fourth proportional to 542,052.68, 748,007.52 and 297,036 is: 409,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,052.68 : 748,007.52 = 297,036 : x
  2. Step 2: Convert to fraction form
    542,052.68/748,007.52 = 297,036/x
  3. Step 3: Cross multiply
    542,052.68x = 748,007.52 × 297,036
  4. Step 4: Simplify right side
    542,052.68x = 222,185,161,710.72
  5. Step 5: Solve for x
    x = 222,185,161,710.72/542,052.68
  6. Step 6: Final answer
    x = 409,895.88

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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.