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Finding the Fourth Proportional to 306,051.30, 428,914.70 and 306,051.30

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Solution

The fourth proportional to 306,051.30, 428,914.70 and 306,051.30 is: 428,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,051.30 : 428,914.70 = 306,051.30 : x
  2. Step 2: Convert to fraction form
    306,051.30/428,914.70 = 306,051.30/x
  3. Step 3: Cross multiply
    306,051.30x = 428,914.70 × 306,051.30
  4. Step 4: Simplify right side
    306,051.30x = 131,269,899,993.85
  5. Step 5: Solve for x
    x = 131,269,899,993.85/306,051.30
  6. Step 6: Final answer
    x = 428,914.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.