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Finding the Fourth Proportional to 431,684.32, 647,370.96 and 182,385.76

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Solution

The fourth proportional to 431,684.32, 647,370.96 and 182,385.76 is: 273,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,684.32 : 647,370.96 = 182,385.76 : x
  2. Step 2: Convert to fraction form
    431,684.32/647,370.96 = 182,385.76/x
  3. Step 3: Cross multiply
    431,684.32x = 647,370.96 × 182,385.76
  4. Step 4: Simplify right side
    431,684.32x = 118,071,244,541.53
  5. Step 5: Solve for x
    x = 118,071,244,541.53/431,684.32
  6. Step 6: Final answer
    x = 273,512.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.