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Finding the Fourth Proportional to 340,587.75, 470,025.81 and 189,684.75

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Solution

The fourth proportional to 340,587.75, 470,025.81 and 189,684.75 is: 261,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,587.75 : 470,025.81 = 189,684.75 : x
  2. Step 2: Convert to fraction form
    340,587.75/470,025.81 = 189,684.75/x
  3. Step 3: Cross multiply
    340,587.75x = 470,025.81 × 189,684.75
  4. Step 4: Simplify right side
    340,587.75x = 89,156,728,263.40
  5. Step 5: Solve for x
    x = 89,156,728,263.40/340,587.75
  6. Step 6: Final answer
    x = 261,773.15

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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.