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Finding the Fourth Proportional to 658,539.40, 988,269.90 and 284,830.60

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Solution

The fourth proportional to 658,539.40, 988,269.90 and 284,830.60 is: 427,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,539.40 : 988,269.90 = 284,830.60 : x
  2. Step 2: Convert to fraction form
    658,539.40/988,269.90 = 284,830.60/x
  3. Step 3: Cross multiply
    658,539.40x = 988,269.90 × 284,830.60
  4. Step 4: Simplify right side
    658,539.40x = 281,489,508,578.94
  5. Step 5: Solve for x
    x = 281,489,508,578.94/658,539.40
  6. Step 6: Final answer
    x = 427,445.20

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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.