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Finding the Fourth Proportional to 384,869.52, 531,109.44 and 210,433.32

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Solution

The fourth proportional to 384,869.52, 531,109.44 and 210,433.32 is: 290,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,869.52 : 531,109.44 = 210,433.32 : x
  2. Step 2: Convert to fraction form
    384,869.52/531,109.44 = 210,433.32/x
  3. Step 3: Cross multiply
    384,869.52x = 531,109.44 × 210,433.32
  4. Step 4: Simplify right side
    384,869.52x = 111,763,122,742.54
  5. Step 5: Solve for x
    x = 111,763,122,742.54/384,869.52
  6. Step 6: Final answer
    x = 290,392.24

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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.