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Finding the Fourth Proportional to 337,344.48, 465,562.80 and 186,444

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Solution

The fourth proportional to 337,344.48, 465,562.80 and 186,444 is: 257,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,344.48 : 465,562.80 = 186,444 : x
  2. Step 2: Convert to fraction form
    337,344.48/465,562.80 = 186,444/x
  3. Step 3: Cross multiply
    337,344.48x = 465,562.80 × 186,444
  4. Step 4: Simplify right side
    337,344.48x = 86,801,390,683.20
  5. Step 5: Solve for x
    x = 86,801,390,683.20/337,344.48
  6. Step 6: Final answer
    x = 257,307.87

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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.