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Finding the Fourth Proportional to 337,462.88, 465,708.50 and 186,569.60

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Solution

The fourth proportional to 337,462.88, 465,708.50 and 186,569.60 is: 257,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,462.88 : 465,708.50 = 186,569.60 : x
  2. Step 2: Convert to fraction form
    337,462.88/465,708.50 = 186,569.60/x
  3. Step 3: Cross multiply
    337,462.88x = 465,708.50 × 186,569.60
  4. Step 4: Simplify right side
    337,462.88x = 86,887,045,300.21
  5. Step 5: Solve for x
    x = 86,887,045,300.21/337,462.88
  6. Step 6: Final answer
    x = 257,471.42

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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.