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Finding the Fourth Proportional to 337,233.50, 465,382.50 and 186,330.50

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Solution

The fourth proportional to 337,233.50, 465,382.50 and 186,330.50 is: 257,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,233.50 : 465,382.50 = 186,330.50 : x
  2. Step 2: Convert to fraction form
    337,233.50/465,382.50 = 186,330.50/x
  3. Step 3: Cross multiply
    337,233.50x = 465,382.50 × 186,330.50
  4. Step 4: Simplify right side
    337,233.50x = 86,714,953,916.25
  5. Step 5: Solve for x
    x = 86,714,953,916.25/337,233.50
  6. Step 6: Final answer
    x = 257,136.24

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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.