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Finding the Fourth Proportional to 542,682.06, 748,946.08 and 301,042.56

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Solution

The fourth proportional to 542,682.06, 748,946.08 and 301,042.56 is: 415,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,682.06 : 748,946.08 = 301,042.56 : x
  2. Step 2: Convert to fraction form
    542,682.06/748,946.08 = 301,042.56/x
  3. Step 3: Cross multiply
    542,682.06x = 748,946.08 × 301,042.56
  4. Step 4: Simplify right side
    542,682.06x = 225,464,645,225.17
  5. Step 5: Solve for x
    x = 225,464,645,225.17/542,682.06
  6. Step 6: Final answer
    x = 415,463.61

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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.