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Finding the Fourth Proportional to 341,784.30, 512,676.45 and 322,101.30

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Solution

The fourth proportional to 341,784.30, 512,676.45 and 322,101.30 is: 483,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,784.30 : 512,676.45 = 322,101.30 : x
  2. Step 2: Convert to fraction form
    341,784.30/512,676.45 = 322,101.30/x
  3. Step 3: Cross multiply
    341,784.30x = 512,676.45 × 322,101.30
  4. Step 4: Simplify right side
    341,784.30x = 165,133,751,024.39
  5. Step 5: Solve for x
    x = 165,133,751,024.39/341,784.30
  6. Step 6: Final answer
    x = 483,151.95

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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.