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Finding the Fourth Proportional to 357,523.93, 493,385.14 and 196,374.84

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Solution

The fourth proportional to 357,523.93, 493,385.14 and 196,374.84 is: 270,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,523.93 : 493,385.14 = 196,374.84 : x
  2. Step 2: Convert to fraction form
    357,523.93/493,385.14 = 196,374.84/x
  3. Step 3: Cross multiply
    357,523.93x = 493,385.14 × 196,374.84
  4. Step 4: Simplify right side
    357,523.93x = 96,888,427,925.88
  5. Step 5: Solve for x
    x = 96,888,427,925.88/357,523.93
  6. Step 6: Final answer
    x = 270,998.44

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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.