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Finding the Fourth Proportional to 465,953.52, 643,012.56 and 264,749.52

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Solution

The fourth proportional to 465,953.52, 643,012.56 and 264,749.52 is: 365,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,953.52 : 643,012.56 = 264,749.52 : x
  2. Step 2: Convert to fraction form
    465,953.52/643,012.56 = 264,749.52/x
  3. Step 3: Cross multiply
    465,953.52x = 643,012.56 × 264,749.52
  4. Step 4: Simplify right side
    465,953.52x = 170,237,266,613.97
  5. Step 5: Solve for x
    x = 170,237,266,613.97/465,953.52
  6. Step 6: Final answer
    x = 365,352.46

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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.