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Finding the Fourth Proportional to 407,981.96, 611,535.42 and 197,330.12

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Solution

The fourth proportional to 407,981.96, 611,535.42 and 197,330.12 is: 295,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,981.96 : 611,535.42 = 197,330.12 : x
  2. Step 2: Convert to fraction form
    407,981.96/611,535.42 = 197,330.12/x
  3. Step 3: Cross multiply
    407,981.96x = 611,535.42 × 197,330.12
  4. Step 4: Simplify right side
    407,981.96x = 120,674,357,812.85
  5. Step 5: Solve for x
    x = 120,674,357,812.85/407,981.96
  6. Step 6: Final answer
    x = 295,783.56

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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.