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Finding the Fourth Proportional to 469,056, 703,584 and 206,400

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Solution

The fourth proportional to 469,056, 703,584 and 206,400 is: 309,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,056 : 703,584 = 206,400 : x
  2. Step 2: Convert to fraction form
    469,056/703,584 = 206,400/x
  3. Step 3: Cross multiply
    469,056x = 703,584 × 206,400
  4. Step 4: Simplify right side
    469,056x = 145,219,737,600
  5. Step 5: Solve for x
    x = 145,219,737,600/469,056
  6. Step 6: Final answer
    x = 309,600

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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.