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Finding the Fourth Proportional to 543,414.29, 749,914.43 and 339,583.66

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Solution

The fourth proportional to 543,414.29, 749,914.43 and 339,583.66 is: 468,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,414.29 : 749,914.43 = 339,583.66 : x
  2. Step 2: Convert to fraction form
    543,414.29/749,914.43 = 339,583.66/x
  3. Step 3: Cross multiply
    543,414.29x = 749,914.43 × 339,583.66
  4. Step 4: Simplify right side
    543,414.29x = 254,658,683,253.51
  5. Step 5: Solve for x
    x = 254,658,683,253.51/543,414.29
  6. Step 6: Final answer
    x = 468,627.14

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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.