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Finding the Fourth Proportional to 489,915.50, 734,873.80 and 194,427.50

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Solution

The fourth proportional to 489,915.50, 734,873.80 and 194,427.50 is: 291,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,915.50 : 734,873.80 = 194,427.50 : x
  2. Step 2: Convert to fraction form
    489,915.50/734,873.80 = 194,427.50/x
  3. Step 3: Cross multiply
    489,915.50x = 734,873.80 × 194,427.50
  4. Step 4: Simplify right side
    489,915.50x = 142,879,675,749.50
  5. Step 5: Solve for x
    x = 142,879,675,749.50/489,915.50
  6. Step 6: Final answer
    x = 291,641.47

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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.