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Finding the Fourth Proportional to 561,271.75, 774,325.64 and 414,448.43

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Solution

The fourth proportional to 561,271.75, 774,325.64 and 414,448.43 is: 571,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,271.75 : 774,325.64 = 414,448.43 : x
  2. Step 2: Convert to fraction form
    561,271.75/774,325.64 = 414,448.43/x
  3. Step 3: Cross multiply
    561,271.75x = 774,325.64 × 414,448.43
  4. Step 4: Simplify right side
    561,271.75x = 320,918,042,971.24
  5. Step 5: Solve for x
    x = 320,918,042,971.24/561,271.75
  6. Step 6: Final answer
    x = 571,769.46

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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.