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Finding the Fourth Proportional to 472,928.80, 708,471.60 and 285,383.20

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Solution

The fourth proportional to 472,928.80, 708,471.60 and 285,383.20 is: 427,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,928.80 : 708,471.60 = 285,383.20 : x
  2. Step 2: Convert to fraction form
    472,928.80/708,471.60 = 285,383.20/x
  3. Step 3: Cross multiply
    472,928.80x = 708,471.60 × 285,383.20
  4. Step 4: Simplify right side
    472,928.80x = 202,185,892,317.12
  5. Step 5: Solve for x
    x = 202,185,892,317.12/472,928.80
  6. Step 6: Final answer
    x = 427,518.67

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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.