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Finding the Fourth Proportional to 434,910.06, 652,102.85 and 194,980.50

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Solution

The fourth proportional to 434,910.06, 652,102.85 and 194,980.50 is: 292,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,910.06 : 652,102.85 = 194,980.50 : x
  2. Step 2: Convert to fraction form
    434,910.06/652,102.85 = 194,980.50/x
  3. Step 3: Cross multiply
    434,910.06x = 652,102.85 × 194,980.50
  4. Step 4: Simplify right side
    434,910.06x = 127,147,340,231.88
  5. Step 5: Solve for x
    x = 127,147,340,231.88/434,910.06
  6. Step 6: Final answer
    x = 292,353.18

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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.