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Finding the Fourth Proportional to 280,577.40, 420,866.10 and 276,148.73

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Solution

The fourth proportional to 280,577.40, 420,866.10 and 276,148.73 is: 414,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,577.40 : 420,866.10 = 276,148.73 : x
  2. Step 2: Convert to fraction form
    280,577.40/420,866.10 = 276,148.73/x
  3. Step 3: Cross multiply
    280,577.40x = 420,866.10 × 276,148.73
  4. Step 4: Simplify right side
    280,577.40x = 116,221,636,910.72
  5. Step 5: Solve for x
    x = 116,221,636,910.72/280,577.40
  6. Step 6: Final answer
    x = 414,223.09

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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.