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Finding the Fourth Proportional to 340,977.50, 470,548.98 and 190,074.50

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Solution

The fourth proportional to 340,977.50, 470,548.98 and 190,074.50 is: 262,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,977.50 : 470,548.98 = 190,074.50 : x
  2. Step 2: Convert to fraction form
    340,977.50/470,548.98 = 190,074.50/x
  3. Step 3: Cross multiply
    340,977.50x = 470,548.98 × 190,074.50
  4. Step 4: Simplify right side
    340,977.50x = 89,439,362,099.01
  5. Step 5: Solve for x
    x = 89,439,362,099.01/340,977.50
  6. Step 6: Final answer
    x = 262,302.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.