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Finding the Fourth Proportional to 542,832.90, 813,855.69 and 364,898.58

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Solution

The fourth proportional to 542,832.90, 813,855.69 and 364,898.58 is: 547,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,832.90 : 813,855.69 = 364,898.58 : x
  2. Step 2: Convert to fraction form
    542,832.90/813,855.69 = 364,898.58/x
  3. Step 3: Cross multiply
    542,832.90x = 813,855.69 × 364,898.58
  4. Step 4: Simplify right side
    542,832.90x = 296,974,785,605.92
  5. Step 5: Solve for x
    x = 296,974,785,605.92/542,832.90
  6. Step 6: Final answer
    x = 547,083.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.