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Finding the Fourth Proportional to 407,977.96, 611,529.42 and 197,326.12

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Solution

The fourth proportional to 407,977.96, 611,529.42 and 197,326.12 is: 295,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,977.96 : 611,529.42 = 197,326.12 : x
  2. Step 2: Convert to fraction form
    407,977.96/611,529.42 = 197,326.12/x
  3. Step 3: Cross multiply
    407,977.96x = 611,529.42 × 197,326.12
  4. Step 4: Simplify right side
    407,977.96x = 120,670,727,714.45
  5. Step 5: Solve for x
    x = 120,670,727,714.45/407,977.96
  6. Step 6: Final answer
    x = 295,777.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.