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Finding the Fourth Proportional to 825,665, 1,237,461.34 and 446,570.60

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Solution

The fourth proportional to 825,665, 1,237,461.34 and 446,570.60 is: 669,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,665 : 1,237,461.34 = 446,570.60 : x
  2. Step 2: Convert to fraction form
    825,665/1,237,461.34 = 446,570.60/x
  3. Step 3: Cross multiply
    825,665x = 1,237,461.34 × 446,570.60
  4. Step 4: Simplify right side
    825,665x = 552,613,853,080.60
  5. Step 5: Solve for x
    x = 552,613,853,080.60/825,665
  6. Step 6: Final answer
    x = 669,295.48

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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.