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Finding the Fourth Proportional to 861,314.50, 1,291,982.69 and 300,349

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Solution

The fourth proportional to 861,314.50, 1,291,982.69 and 300,349 is: 450,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,314.50 : 1,291,982.69 = 300,349 : x
  2. Step 2: Convert to fraction form
    861,314.50/1,291,982.69 = 300,349/x
  3. Step 3: Cross multiply
    861,314.50x = 1,291,982.69 × 300,349
  4. Step 4: Simplify right side
    861,314.50x = 388,045,708,958.81
  5. Step 5: Solve for x
    x = 388,045,708,958.81/861,314.50
  6. Step 6: Final answer
    x = 450,527.31

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Why These Related Problems?

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