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Finding the Fourth Proportional to 289,416.20, 434,124.30 and 277,128.20

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Solution

The fourth proportional to 289,416.20, 434,124.30 and 277,128.20 is: 415,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,416.20 : 434,124.30 = 277,128.20 : x
  2. Step 2: Convert to fraction form
    289,416.20/434,124.30 = 277,128.20/x
  3. Step 3: Cross multiply
    289,416.20x = 434,124.30 × 277,128.20
  4. Step 4: Simplify right side
    289,416.20x = 120,308,085,835.26
  5. Step 5: Solve for x
    x = 120,308,085,835.26/289,416.20
  6. Step 6: Final answer
    x = 415,692.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.