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Finding the Fourth Proportional to 542,823.06, 749,107.83 and 301,097.76

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Solution

The fourth proportional to 542,823.06, 749,107.83 and 301,097.76 is: 415,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,823.06 : 749,107.83 = 301,097.76 : x
  2. Step 2: Convert to fraction form
    542,823.06/749,107.83 = 301,097.76/x
  3. Step 3: Cross multiply
    542,823.06x = 749,107.83 × 301,097.76
  4. Step 4: Simplify right side
    542,823.06x = 225,554,689,611.46
  5. Step 5: Solve for x
    x = 225,554,689,611.46/542,823.06
  6. Step 6: Final answer
    x = 415,521.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.