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Finding the Fourth Proportional to 513,856.50, 770,858.26 and 158,897.90

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Solution

The fourth proportional to 513,856.50, 770,858.26 and 158,897.90 is: 238,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,856.50 : 770,858.26 = 158,897.90 : x
  2. Step 2: Convert to fraction form
    513,856.50/770,858.26 = 158,897.90/x
  3. Step 3: Cross multiply
    513,856.50x = 770,858.26 × 158,897.90
  4. Step 4: Simplify right side
    513,856.50x = 122,487,754,460.12
  5. Step 5: Solve for x
    x = 122,487,754,460.12/513,856.50
  6. Step 6: Final answer
    x = 238,369.57

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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.