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Finding the Fourth Proportional to 407,907.40, 611,861.10 and 266,189.80

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Solution

The fourth proportional to 407,907.40, 611,861.10 and 266,189.80 is: 399,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,907.40 : 611,861.10 = 266,189.80 : x
  2. Step 2: Convert to fraction form
    407,907.40/611,861.10 = 266,189.80/x
  3. Step 3: Cross multiply
    407,907.40x = 611,861.10 × 266,189.80
  4. Step 4: Simplify right side
    407,907.40x = 162,871,183,836.78
  5. Step 5: Solve for x
    x = 162,871,183,836.78/407,907.40
  6. Step 6: Final answer
    x = 399,284.70

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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.