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Finding the Fourth Proportional to 542,034.81, 748,032 and 300,317.31

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Solution

The fourth proportional to 542,034.81, 748,032 and 300,317.31 is: 414,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,034.81 : 748,032 = 300,317.31 : x
  2. Step 2: Convert to fraction form
    542,034.81/748,032 = 300,317.31/x
  3. Step 3: Cross multiply
    542,034.81x = 748,032 × 300,317.31
  4. Step 4: Simplify right side
    542,034.81x = 224,646,958,033.92
  5. Step 5: Solve for x
    x = 224,646,958,033.92/542,034.81
  6. Step 6: Final answer
    x = 414,451.16

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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.