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Finding the Fourth Proportional to 310,586.94, 465,548.22 and 160,676.28

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Solution

The fourth proportional to 310,586.94, 465,548.22 and 160,676.28 is: 240,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,586.94 : 465,548.22 = 160,676.28 : x
  2. Step 2: Convert to fraction form
    310,586.94/465,548.22 = 160,676.28/x
  3. Step 3: Cross multiply
    310,586.94x = 465,548.22 × 160,676.28
  4. Step 4: Simplify right side
    310,586.94x = 74,802,556,150.22
  5. Step 5: Solve for x
    x = 74,802,556,150.22/310,586.94
  6. Step 6: Final answer
    x = 240,842.57

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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.