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Finding the Fourth Proportional to 357,835.74, 493,806.67 and 196,687.34

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Solution

The fourth proportional to 357,835.74, 493,806.67 and 196,687.34 is: 271,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,835.74 : 493,806.67 = 196,687.34 : x
  2. Step 2: Convert to fraction form
    357,835.74/493,806.67 = 196,687.34/x
  3. Step 3: Cross multiply
    357,835.74x = 493,806.67 × 196,687.34
  4. Step 4: Simplify right side
    357,835.74x = 97,125,516,944.09
  5. Step 5: Solve for x
    x = 97,125,516,944.09/357,835.74
  6. Step 6: Final answer
    x = 271,424.87

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1.5x scale

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.