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Finding the Fourth Proportional to 289,340.49, 434,677.77 and 277,383.27

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Solution

The fourth proportional to 289,340.49, 434,677.77 and 277,383.27 is: 416,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,340.49 : 434,677.77 = 277,383.27 : x
  2. Step 2: Convert to fraction form
    289,340.49/434,677.77 = 277,383.27/x
  3. Step 3: Cross multiply
    289,340.49x = 434,677.77 × 277,383.27
  4. Step 4: Simplify right side
    289,340.49x = 120,572,341,238.91
  5. Step 5: Solve for x
    x = 120,572,341,238.91/289,340.49
  6. Step 6: Final answer
    x = 416,714.37

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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.