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Finding the Fourth Proportional to 500,180.62, 690,314.96 and 285,271.42

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Solution

The fourth proportional to 500,180.62, 690,314.96 and 285,271.42 is: 393,712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,180.62 : 690,314.96 = 285,271.42 : x
  2. Step 2: Convert to fraction form
    500,180.62/690,314.96 = 285,271.42/x
  3. Step 3: Cross multiply
    500,180.62x = 690,314.96 × 285,271.42
  4. Step 4: Simplify right side
    500,180.62x = 196,927,128,886.44
  5. Step 5: Solve for x
    x = 196,927,128,886.44/500,180.62
  6. Step 6: Final answer
    x = 393,712.03

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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.