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Finding the Fourth Proportional to 542,696.27, 813,968.98 and 380,097.83

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Solution

The fourth proportional to 542,696.27, 813,968.98 and 380,097.83 is: 570,093.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,696.27 : 813,968.98 = 380,097.83 : x
  2. Step 2: Convert to fraction form
    542,696.27/813,968.98 = 380,097.83/x
  3. Step 3: Cross multiply
    542,696.27x = 813,968.98 × 380,097.83
  4. Step 4: Simplify right side
    542,696.27x = 309,387,844,069.99
  5. Step 5: Solve for x
    x = 309,387,844,069.99/542,696.27
  6. Step 6: Final answer
    x = 570,093.93

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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.