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Finding the Fourth Proportional to 542,686.53, 748,953.42 and 301,046.96

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Solution

The fourth proportional to 542,686.53, 748,953.42 and 301,046.96 is: 415,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,686.53 : 748,953.42 = 301,046.96 : x
  2. Step 2: Convert to fraction form
    542,686.53/748,953.42 = 301,046.96/x
  3. Step 3: Cross multiply
    542,686.53x = 748,953.42 × 301,046.96
  4. Step 4: Simplify right side
    542,686.53x = 225,470,152,144.99
  5. Step 5: Solve for x
    x = 225,470,152,144.99/542,686.53
  6. Step 6: Final answer
    x = 415,470.33

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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.