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Finding the Fourth Proportional to 650,193.25, 975,675.16 and 362,245.91

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Solution

The fourth proportional to 650,193.25, 975,675.16 and 362,245.91 is: 543,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,193.25 : 975,675.16 = 362,245.91 : x
  2. Step 2: Convert to fraction form
    650,193.25/975,675.16 = 362,245.91/x
  3. Step 3: Cross multiply
    650,193.25x = 975,675.16 × 362,245.91
  4. Step 4: Simplify right side
    650,193.25x = 353,434,332,791.84
  5. Step 5: Solve for x
    x = 353,434,332,791.84/650,193.25
  6. Step 6: Final answer
    x = 543,583.52

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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.