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Finding the Fourth Proportional to 214,934.40, 322,401.60 and 201,812.40

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Solution

The fourth proportional to 214,934.40, 322,401.60 and 201,812.40 is: 302,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,934.40 : 322,401.60 = 201,812.40 : x
  2. Step 2: Convert to fraction form
    214,934.40/322,401.60 = 201,812.40/x
  3. Step 3: Cross multiply
    214,934.40x = 322,401.60 × 201,812.40
  4. Step 4: Simplify right side
    214,934.40x = 65,064,640,659.84
  5. Step 5: Solve for x
    x = 65,064,640,659.84/214,934.40
  6. Step 6: Final answer
    x = 302,718.60

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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.