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Finding the Fourth Proportional to 471,724.70, 650,814.03 and 308,476.77

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Solution

The fourth proportional to 471,724.70, 650,814.03 and 308,476.77 is: 425,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,724.70 : 650,814.03 = 308,476.77 : x
  2. Step 2: Convert to fraction form
    471,724.70/650,814.03 = 308,476.77/x
  3. Step 3: Cross multiply
    471,724.70x = 650,814.03 × 308,476.77
  4. Step 4: Simplify right side
    471,724.70x = 200,761,009,845.08
  5. Step 5: Solve for x
    x = 200,761,009,845.08/471,724.70
  6. Step 6: Final answer
    x = 425,589.35

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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.