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Finding the Fourth Proportional to 472,322.58, 705,473.67 and 427,274.64

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Solution

The fourth proportional to 472,322.58, 705,473.67 and 427,274.64 is: 638,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,322.58 : 705,473.67 = 427,274.64 : x
  2. Step 2: Convert to fraction form
    472,322.58/705,473.67 = 427,274.64/x
  3. Step 3: Cross multiply
    472,322.58x = 705,473.67 × 427,274.64
  4. Step 4: Simplify right side
    472,322.58x = 301,431,008,378.73
  5. Step 5: Solve for x
    x = 301,431,008,378.73/472,322.58
  6. Step 6: Final answer
    x = 638,188.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.