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Finding the Fourth Proportional to 542,752.54, 749,088.16 and 301,112.96

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Solution

The fourth proportional to 542,752.54, 749,088.16 and 301,112.96 is: 415,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,752.54 : 749,088.16 = 301,112.96 : x
  2. Step 2: Convert to fraction form
    542,752.54/749,088.16 = 301,112.96/x
  3. Step 3: Cross multiply
    542,752.54x = 749,088.16 × 301,112.96
  4. Step 4: Simplify right side
    542,752.54x = 225,560,148,660.33
  5. Step 5: Solve for x
    x = 225,560,148,660.33/542,752.54
  6. Step 6: Final answer
    x = 415,585.62

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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.