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Finding the Fourth Proportional to 495,346.24, 743,019.36 and 121,366

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Solution

The fourth proportional to 495,346.24, 743,019.36 and 121,366 is: 182,049

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,346.24 : 743,019.36 = 121,366 : x
  2. Step 2: Convert to fraction form
    495,346.24/743,019.36 = 121,366/x
  3. Step 3: Cross multiply
    495,346.24x = 743,019.36 × 121,366
  4. Step 4: Simplify right side
    495,346.24x = 90,177,287,645.76
  5. Step 5: Solve for x
    x = 90,177,287,645.76/495,346.24
  6. Step 6: Final answer
    x = 182,049

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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.