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Finding the Fourth Proportional to 299,491.74, 412,730.37 and 214,461.18

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Solution

The fourth proportional to 299,491.74, 412,730.37 and 214,461.18 is: 295,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,491.74 : 412,730.37 = 214,461.18 : x
  2. Step 2: Convert to fraction form
    299,491.74/412,730.37 = 214,461.18/x
  3. Step 3: Cross multiply
    299,491.74x = 412,730.37 × 214,461.18
  4. Step 4: Simplify right side
    299,491.74x = 88,514,642,172.04
  5. Step 5: Solve for x
    x = 88,514,642,172.04/299,491.74
  6. Step 6: Final answer
    x = 295,549.53

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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.