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Finding the Fourth Proportional to 341,788.40, 512,682.60 and 164,252.60

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Solution

The fourth proportional to 341,788.40, 512,682.60 and 164,252.60 is: 246,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,788.40 : 512,682.60 = 164,252.60 : x
  2. Step 2: Convert to fraction form
    341,788.40/512,682.60 = 164,252.60/x
  3. Step 3: Cross multiply
    341,788.40x = 512,682.60 × 164,252.60
  4. Step 4: Simplify right side
    341,788.40x = 84,209,450,024.76
  5. Step 5: Solve for x
    x = 84,209,450,024.76/341,788.40
  6. Step 6: Final answer
    x = 246,378.90

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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.