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Finding the Fourth Proportional to 414,705.60, 571,998.90 and 276,814.98

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Solution

The fourth proportional to 414,705.60, 571,998.90 and 276,814.98 is: 381,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,705.60 : 571,998.90 = 276,814.98 : x
  2. Step 2: Convert to fraction form
    414,705.60/571,998.90 = 276,814.98/x
  3. Step 3: Cross multiply
    414,705.60x = 571,998.90 × 276,814.98
  4. Step 4: Simplify right side
    414,705.60x = 158,337,864,063.52
  5. Step 5: Solve for x
    x = 158,337,864,063.52/414,705.60
  6. Step 6: Final answer
    x = 381,807.88

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1.5x scale

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.