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Finding the Fourth Proportional to 542,835.30, 814,252.95 and 401,117.70

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Solution

The fourth proportional to 542,835.30, 814,252.95 and 401,117.70 is: 601,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,835.30 : 814,252.95 = 401,117.70 : x
  2. Step 2: Convert to fraction form
    542,835.30/814,252.95 = 401,117.70/x
  3. Step 3: Cross multiply
    542,835.30x = 814,252.95 × 401,117.70
  4. Step 4: Simplify right side
    542,835.30x = 326,611,270,522.22
  5. Step 5: Solve for x
    x = 326,611,270,522.22/542,835.30
  6. Step 6: Final answer
    x = 601,676.55

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