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Finding the Fourth Proportional to 411,897.60, 618,235.20 and 254,433.60

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Solution

The fourth proportional to 411,897.60, 618,235.20 and 254,433.60 is: 381,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,897.60 : 618,235.20 = 254,433.60 : x
  2. Step 2: Convert to fraction form
    411,897.60/618,235.20 = 254,433.60/x
  3. Step 3: Cross multiply
    411,897.60x = 618,235.20 × 254,433.60
  4. Step 4: Simplify right side
    411,897.60x = 157,299,807,582.72
  5. Step 5: Solve for x
    x = 157,299,807,582.72/411,897.60
  6. Step 6: Final answer
    x = 381,890.57

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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.