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Finding the Fourth Proportional to 471,221.49, 650,419.37 and 277,741.65

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Solution

The fourth proportional to 471,221.49, 650,419.37 and 277,741.65 is: 383,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,221.49 : 650,419.37 = 277,741.65 : x
  2. Step 2: Convert to fraction form
    471,221.49/650,419.37 = 277,741.65/x
  3. Step 3: Cross multiply
    471,221.49x = 650,419.37 × 277,741.65
  4. Step 4: Simplify right side
    471,221.49x = 180,648,547,627.05
  5. Step 5: Solve for x
    x = 180,648,547,627.05/471,221.49
  6. Step 6: Final answer
    x = 383,362.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.