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Finding the Fourth Proportional to 280,204.36, 420,592.45 and 205,101.42

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Solution

The fourth proportional to 280,204.36, 420,592.45 and 205,101.42 is: 307,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,204.36 : 420,592.45 = 205,101.42 : x
  2. Step 2: Convert to fraction form
    280,204.36/420,592.45 = 205,101.42/x
  3. Step 3: Cross multiply
    280,204.36x = 420,592.45 × 205,101.42
  4. Step 4: Simplify right side
    280,204.36x = 86,264,107,030.87
  5. Step 5: Solve for x
    x = 86,264,107,030.87/280,204.36
  6. Step 6: Final answer
    x = 307,861.40

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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.