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Finding the Fourth Proportional to 459,794.82, 689,692.61 and 219,852.27

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Solution

The fourth proportional to 459,794.82, 689,692.61 and 219,852.27 is: 329,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,794.82 : 689,692.61 = 219,852.27 : x
  2. Step 2: Convert to fraction form
    459,794.82/689,692.61 = 219,852.27/x
  3. Step 3: Cross multiply
    459,794.82x = 689,692.61 × 219,852.27
  4. Step 4: Simplify right side
    459,794.82x = 151,630,484,186.49
  5. Step 5: Solve for x
    x = 151,630,484,186.49/459,794.82
  6. Step 6: Final answer
    x = 329,778.58

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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.