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Finding the Fourth Proportional to 357,934.64, 493,953.18 and 196,790.82

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Solution

The fourth proportional to 357,934.64, 493,953.18 and 196,790.82 is: 271,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,934.64 : 493,953.18 = 196,790.82 : x
  2. Step 2: Convert to fraction form
    357,934.64/493,953.18 = 196,790.82/x
  3. Step 3: Cross multiply
    357,934.64x = 493,953.18 × 196,790.82
  4. Step 4: Simplify right side
    357,934.64x = 97,205,451,333.81
  5. Step 5: Solve for x
    x = 97,205,451,333.81/357,934.64
  6. Step 6: Final answer
    x = 271,573.19

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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.