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Finding the Fourth Proportional to 341,109.40, 512,085.30 and 214,749.40

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Solution

The fourth proportional to 341,109.40, 512,085.30 and 214,749.40 is: 322,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,109.40 : 512,085.30 = 214,749.40 : x
  2. Step 2: Convert to fraction form
    341,109.40/512,085.30 = 214,749.40/x
  3. Step 3: Cross multiply
    341,109.40x = 512,085.30 × 214,749.40
  4. Step 4: Simplify right side
    341,109.40x = 109,970,010,923.82
  5. Step 5: Solve for x
    x = 109,970,010,923.82/341,109.40
  6. Step 6: Final answer
    x = 322,389.27

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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.