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Finding the Fourth Proportional to 427,496.40, 641,244.60 and 411,166.80

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Solution

The fourth proportional to 427,496.40, 641,244.60 and 411,166.80 is: 616,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,496.40 : 641,244.60 = 411,166.80 : x
  2. Step 2: Convert to fraction form
    427,496.40/641,244.60 = 411,166.80/x
  3. Step 3: Cross multiply
    427,496.40x = 641,244.60 × 411,166.80
  4. Step 4: Simplify right side
    427,496.40x = 263,658,490,199.28
  5. Step 5: Solve for x
    x = 263,658,490,199.28/427,496.40
  6. Step 6: Final answer
    x = 616,750.20

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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.