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Finding the Fourth Proportional to 309,186.34, 463,175.50 and 213,106.48

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Solution

The fourth proportional to 309,186.34, 463,175.50 and 213,106.48 is: 319,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,186.34 : 463,175.50 = 213,106.48 : x
  2. Step 2: Convert to fraction form
    309,186.34/463,175.50 = 213,106.48/x
  3. Step 3: Cross multiply
    309,186.34x = 463,175.50 × 213,106.48
  4. Step 4: Simplify right side
    309,186.34x = 98,705,700,427.24
  5. Step 5: Solve for x
    x = 98,705,700,427.24/309,186.34
  6. Step 6: Final answer
    x = 319,243.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.