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Finding the Fourth Proportional to 357,508.77, 493,374.69 and 196,378.71

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Solution

The fourth proportional to 357,508.77, 493,374.69 and 196,378.71 is: 271,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,508.77 : 493,374.69 = 196,378.71 : x
  2. Step 2: Convert to fraction form
    357,508.77/493,374.69 = 196,378.71/x
  3. Step 3: Cross multiply
    357,508.77x = 493,374.69 × 196,378.71
  4. Step 4: Simplify right side
    357,508.77x = 96,888,285,168.85
  5. Step 5: Solve for x
    x = 96,888,285,168.85/357,508.77
  6. Step 6: Final answer
    x = 271,009.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.