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Finding the Fourth Proportional to 257,056.34, 384,913.82 and 206,862.26

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Solution

The fourth proportional to 257,056.34, 384,913.82 and 206,862.26 is: 309,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,056.34 : 384,913.82 = 206,862.26 : x
  2. Step 2: Convert to fraction form
    257,056.34/384,913.82 = 206,862.26/x
  3. Step 3: Cross multiply
    257,056.34x = 384,913.82 × 206,862.26
  4. Step 4: Simplify right side
    257,056.34x = 79,624,141,303.02
  5. Step 5: Solve for x
    x = 79,624,141,303.02/257,056.34
  6. Step 6: Final answer
    x = 309,753.66

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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.