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Finding the Fourth Proportional to 580,100.26, 870,173.72 and 276,338.26

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Solution

The fourth proportional to 580,100.26, 870,173.72 and 276,338.26 is: 414,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,100.26 : 870,173.72 = 276,338.26 : x
  2. Step 2: Convert to fraction form
    580,100.26/870,173.72 = 276,338.26/x
  3. Step 3: Cross multiply
    580,100.26x = 870,173.72 × 276,338.26
  4. Step 4: Simplify right side
    580,100.26x = 240,462,290,300.84
  5. Step 5: Solve for x
    x = 240,462,290,300.84/580,100.26
  6. Step 6: Final answer
    x = 414,518.50

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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.