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Finding the Fourth Proportional to 289,883.94, 434,606.67 and 190,069.26

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Solution

The fourth proportional to 289,883.94, 434,606.67 and 190,069.26 is: 284,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,883.94 : 434,606.67 = 190,069.26 : x
  2. Step 2: Convert to fraction form
    289,883.94/434,606.67 = 190,069.26/x
  3. Step 3: Cross multiply
    289,883.94x = 434,606.67 × 190,069.26
  4. Step 4: Simplify right side
    289,883.94x = 82,605,368,157.96
  5. Step 5: Solve for x
    x = 82,605,368,157.96/289,883.94
  6. Step 6: Final answer
    x = 284,960.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.