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Finding the Fourth Proportional to 454,469.84, 628,302.16 and 341,095.76

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Solution

The fourth proportional to 454,469.84, 628,302.16 and 341,095.76 is: 471,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,469.84 : 628,302.16 = 341,095.76 : x
  2. Step 2: Convert to fraction form
    454,469.84/628,302.16 = 341,095.76/x
  3. Step 3: Cross multiply
    454,469.84x = 628,302.16 × 341,095.76
  4. Step 4: Simplify right side
    454,469.84x = 214,311,202,774.84
  5. Step 5: Solve for x
    x = 214,311,202,774.84/454,469.84
  6. Step 6: Final answer
    x = 471,563.09

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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.