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Finding the Fourth Proportional to 314,641.67, 471,596.33 and 179,800.26

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Solution

The fourth proportional to 314,641.67, 471,596.33 and 179,800.26 is: 269,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,641.67 : 471,596.33 = 179,800.26 : x
  2. Step 2: Convert to fraction form
    314,641.67/471,596.33 = 179,800.26/x
  3. Step 3: Cross multiply
    314,641.67x = 471,596.33 × 179,800.26
  4. Step 4: Simplify right side
    314,641.67x = 84,793,142,749.05
  5. Step 5: Solve for x
    x = 84,793,142,749.05/314,641.67
  6. Step 6: Final answer
    x = 269,491.14

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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.