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Finding the Fourth Proportional to 290,277, 434,628.09 and 254,410.20

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Solution

The fourth proportional to 290,277, 434,628.09 and 254,410.20 is: 380,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,277 : 434,628.09 = 254,410.20 : x
  2. Step 2: Convert to fraction form
    290,277/434,628.09 = 254,410.20/x
  3. Step 3: Cross multiply
    290,277x = 434,628.09 × 254,410.20
  4. Step 4: Simplify right side
    290,277x = 110,573,819,302.52
  5. Step 5: Solve for x
    x = 110,573,819,302.52/290,277
  6. Step 6: Final answer
    x = 380,925.18

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