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Finding the Fourth Proportional to 434,684.22, 599,641.83 and 289,739.58

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Solution

The fourth proportional to 434,684.22, 599,641.83 and 289,739.58 is: 399,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,684.22 : 599,641.83 = 289,739.58 : x
  2. Step 2: Convert to fraction form
    434,684.22/599,641.83 = 289,739.58/x
  3. Step 3: Cross multiply
    434,684.22x = 599,641.83 × 289,739.58
  4. Step 4: Simplify right side
    434,684.22x = 173,739,971,974.63
  5. Step 5: Solve for x
    x = 173,739,971,974.63/434,684.22
  6. Step 6: Final answer
    x = 399,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.