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Finding the Fourth Proportional to 434,076.20, 651,114.30 and 266,114.60

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Solution

The fourth proportional to 434,076.20, 651,114.30 and 266,114.60 is: 399,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,076.20 : 651,114.30 = 266,114.60 : x
  2. Step 2: Convert to fraction form
    434,076.20/651,114.30 = 266,114.60/x
  3. Step 3: Cross multiply
    434,076.20x = 651,114.30 × 266,114.60
  4. Step 4: Simplify right side
    434,076.20x = 173,271,021,498.78
  5. Step 5: Solve for x
    x = 173,271,021,498.78/434,076.20
  6. Step 6: Final answer
    x = 399,171.90

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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.