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Finding the Fourth Proportional to 337,339.72, 465,510.54 and 186,427

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Solution

The fourth proportional to 337,339.72, 465,510.54 and 186,427 is: 257,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,339.72 : 465,510.54 = 186,427 : x
  2. Step 2: Convert to fraction form
    337,339.72/465,510.54 = 186,427/x
  3. Step 3: Cross multiply
    337,339.72x = 465,510.54 × 186,427
  4. Step 4: Simplify right side
    337,339.72x = 86,783,733,440.58
  5. Step 5: Solve for x
    x = 86,783,733,440.58/337,339.72
  6. Step 6: Final answer
    x = 257,259.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.