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Finding the Fourth Proportional to 309,711.21, 464,253.06 and 209,881.50

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Solution

The fourth proportional to 309,711.21, 464,253.06 and 209,881.50 is: 314,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,711.21 : 464,253.06 = 209,881.50 : x
  2. Step 2: Convert to fraction form
    309,711.21/464,253.06 = 209,881.50/x
  3. Step 3: Cross multiply
    309,711.21x = 464,253.06 × 209,881.50
  4. Step 4: Simplify right side
    309,711.21x = 97,438,128,612.39
  5. Step 5: Solve for x
    x = 97,438,128,612.39/309,711.21
  6. Step 6: Final answer
    x = 314,609.63

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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.