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Finding the Fourth Proportional to 495,883.44, 743,529.51 and 196,407

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Solution

The fourth proportional to 495,883.44, 743,529.51 and 196,407 is: 294,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,883.44 : 743,529.51 = 196,407 : x
  2. Step 2: Convert to fraction form
    495,883.44/743,529.51 = 196,407/x
  3. Step 3: Cross multiply
    495,883.44x = 743,529.51 × 196,407
  4. Step 4: Simplify right side
    495,883.44x = 146,034,400,470.57
  5. Step 5: Solve for x
    x = 146,034,400,470.57/495,883.44
  6. Step 6: Final answer
    x = 294,493.40

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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.