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Finding the Fourth Proportional to 506,057.32, 697,906.81 and 419,879.88

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Solution

The fourth proportional to 506,057.32, 697,906.81 and 419,879.88 is: 579,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,057.32 : 697,906.81 = 419,879.88 : x
  2. Step 2: Convert to fraction form
    506,057.32/697,906.81 = 419,879.88/x
  3. Step 3: Cross multiply
    506,057.32x = 697,906.81 × 419,879.88
  4. Step 4: Simplify right side
    506,057.32x = 293,037,025,015.06
  5. Step 5: Solve for x
    x = 293,037,025,015.06/506,057.32
  6. Step 6: Final answer
    x = 579,058.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.