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Finding the Fourth Proportional to 489,534.08, 734,336.69 and 204,938.40

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Solution

The fourth proportional to 489,534.08, 734,336.69 and 204,938.40 is: 307,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,534.08 : 734,336.69 = 204,938.40 : x
  2. Step 2: Convert to fraction form
    489,534.08/734,336.69 = 204,938.40/x
  3. Step 3: Cross multiply
    489,534.08x = 734,336.69 × 204,938.40
  4. Step 4: Simplify right side
    489,534.08x = 150,493,788,038.97
  5. Step 5: Solve for x
    x = 150,493,788,038.97/489,534.08
  6. Step 6: Final answer
    x = 307,422.49

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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.