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Finding the Fourth Proportional to 357,598.71, 493,486.41 and 196,464.13

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Solution

The fourth proportional to 357,598.71, 493,486.41 and 196,464.13 is: 271,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,598.71 : 493,486.41 = 196,464.13 : x
  2. Step 2: Convert to fraction form
    357,598.71/493,486.41 = 196,464.13/x
  3. Step 3: Cross multiply
    357,598.71x = 493,486.41 × 196,464.13
  4. Step 4: Simplify right side
    357,598.71x = 96,952,380,210.08
  5. Step 5: Solve for x
    x = 96,952,380,210.08/357,598.71
  6. Step 6: Final answer
    x = 271,120.61

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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.