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Finding the Fourth Proportional to 513,156.50, 769,661.37 and 176,190.83

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Solution

The fourth proportional to 513,156.50, 769,661.37 and 176,190.83 is: 264,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,156.50 : 769,661.37 = 176,190.83 : x
  2. Step 2: Convert to fraction form
    513,156.50/769,661.37 = 176,190.83/x
  3. Step 3: Cross multiply
    513,156.50x = 769,661.37 × 176,190.83
  4. Step 4: Simplify right side
    513,156.50x = 135,607,275,599.24
  5. Step 5: Solve for x
    x = 135,607,275,599.24/513,156.50
  6. Step 6: Final answer
    x = 264,261.05

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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.