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Finding the Fourth Proportional to 306,232.85, 459,442.60 and 156,578.27

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Solution

The fourth proportional to 306,232.85, 459,442.60 and 156,578.27 is: 234,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,232.85 : 459,442.60 = 156,578.27 : x
  2. Step 2: Convert to fraction form
    306,232.85/459,442.60 = 156,578.27/x
  3. Step 3: Cross multiply
    306,232.85x = 459,442.60 × 156,578.27
  4. Step 4: Simplify right side
    306,232.85x = 71,938,724,783.64
  5. Step 5: Solve for x
    x = 71,938,724,783.64/306,232.85
  6. Step 6: Final answer
    x = 234,915.11

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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.