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Finding the Fourth Proportional to 256,416.40, 384,106.20 and 172,435.60

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Solution

The fourth proportional to 256,416.40, 384,106.20 and 172,435.60 is: 258,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,416.40 : 384,106.20 = 172,435.60 : x
  2. Step 2: Convert to fraction form
    256,416.40/384,106.20 = 172,435.60/x
  3. Step 3: Cross multiply
    256,416.40x = 384,106.20 × 172,435.60
  4. Step 4: Simplify right side
    256,416.40x = 66,233,583,060.72
  5. Step 5: Solve for x
    x = 66,233,583,060.72/256,416.40
  6. Step 6: Final answer
    x = 258,304.78

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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.