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Finding the Fourth Proportional to 256,607.10, 384,910.65 and 172,626.30

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Solution

The fourth proportional to 256,607.10, 384,910.65 and 172,626.30 is: 258,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,607.10 : 384,910.65 = 172,626.30 : x
  2. Step 2: Convert to fraction form
    256,607.10/384,910.65 = 172,626.30/x
  3. Step 3: Cross multiply
    256,607.10x = 384,910.65 × 172,626.30
  4. Step 4: Simplify right side
    256,607.10x = 66,445,701,340.10
  5. Step 5: Solve for x
    x = 66,445,701,340.10/256,607.10
  6. Step 6: Final answer
    x = 258,939.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.