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Finding the Fourth Proportional to 380,069.40, 569,969.70 and 130,693.40

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Solution

The fourth proportional to 380,069.40, 569,969.70 and 130,693.40 is: 195,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,069.40 : 569,969.70 = 130,693.40 : x
  2. Step 2: Convert to fraction form
    380,069.40/569,969.70 = 130,693.40/x
  3. Step 3: Cross multiply
    380,069.40x = 569,969.70 × 130,693.40
  4. Step 4: Simplify right side
    380,069.40x = 74,491,277,989.98
  5. Step 5: Solve for x
    x = 74,491,277,989.98/380,069.40
  6. Step 6: Final answer
    x = 195,993.88

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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.