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Finding the Fourth Proportional to 353,269.68, 529,904.52 and 205,422

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Solution

The fourth proportional to 353,269.68, 529,904.52 and 205,422 is: 308,133

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,269.68 : 529,904.52 = 205,422 : x
  2. Step 2: Convert to fraction form
    353,269.68/529,904.52 = 205,422/x
  3. Step 3: Cross multiply
    353,269.68x = 529,904.52 × 205,422
  4. Step 4: Simplify right side
    353,269.68x = 108,854,046,307.44
  5. Step 5: Solve for x
    x = 108,854,046,307.44/353,269.68
  6. Step 6: Final answer
    x = 308,133

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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.