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Finding the Fourth Proportional to 337,141.76, 465,216 and 186,229.76

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Solution

The fourth proportional to 337,141.76, 465,216 and 186,229.76 is: 256,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,141.76 : 465,216 = 186,229.76 : x
  2. Step 2: Convert to fraction form
    337,141.76/465,216 = 186,229.76/x
  3. Step 3: Cross multiply
    337,141.76x = 465,216 × 186,229.76
  4. Step 4: Simplify right side
    337,141.76x = 86,637,064,028.16
  5. Step 5: Solve for x
    x = 86,637,064,028.16/337,141.76
  6. Step 6: Final answer
    x = 256,975.18

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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.