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Finding the Fourth Proportional to 386,474.69, 533,340.32 and 289,506.75

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Solution

The fourth proportional to 386,474.69, 533,340.32 and 289,506.75 is: 399,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,474.69 : 533,340.32 = 289,506.75 : x
  2. Step 2: Convert to fraction form
    386,474.69/533,340.32 = 289,506.75/x
  3. Step 3: Cross multiply
    386,474.69x = 533,340.32 × 289,506.75
  4. Step 4: Simplify right side
    386,474.69x = 154,405,621,239.63
  5. Step 5: Solve for x
    x = 154,405,621,239.63/386,474.69
  6. Step 6: Final answer
    x = 399,523.25

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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.