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Finding the Fourth Proportional to 357,689.76, 493,601.92 and 196,544.76

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Solution

The fourth proportional to 357,689.76, 493,601.92 and 196,544.76 is: 271,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,689.76 : 493,601.92 = 196,544.76 : x
  2. Step 2: Convert to fraction form
    357,689.76/493,601.92 = 196,544.76/x
  3. Step 3: Cross multiply
    357,689.76x = 493,601.92 × 196,544.76
  4. Step 4: Simplify right side
    357,689.76x = 97,014,870,901.94
  5. Step 5: Solve for x
    x = 97,014,870,901.94/357,689.76
  6. Step 6: Final answer
    x = 271,226.30

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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.