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Finding the Fourth Proportional to 434,057.80, 651,086.70 and 266,096.20

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Solution

The fourth proportional to 434,057.80, 651,086.70 and 266,096.20 is: 399,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,057.80 : 651,086.70 = 266,096.20 : x
  2. Step 2: Convert to fraction form
    434,057.80/651,086.70 = 266,096.20/x
  3. Step 3: Cross multiply
    434,057.80x = 651,086.70 × 266,096.20
  4. Step 4: Simplify right side
    434,057.80x = 173,251,696,740.54
  5. Step 5: Solve for x
    x = 173,251,696,740.54/434,057.80
  6. Step 6: Final answer
    x = 399,144.30

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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.