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Finding the Fourth Proportional to 414,298.40, 619,892.40 and 274,330.40

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Solution

The fourth proportional to 414,298.40, 619,892.40 and 274,330.40 is: 410,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,298.40 : 619,892.40 = 274,330.40 : x
  2. Step 2: Convert to fraction form
    414,298.40/619,892.40 = 274,330.40/x
  3. Step 3: Cross multiply
    414,298.40x = 619,892.40 × 274,330.40
  4. Step 4: Simplify right side
    414,298.40x = 170,055,330,048.96
  5. Step 5: Solve for x
    x = 170,055,330,048.96/414,298.40
  6. Step 6: Final answer
    x = 410,465.81

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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.