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Finding the Fourth Proportional to 407,858.40, 611,787.60 and 266,140.80

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Solution

The fourth proportional to 407,858.40, 611,787.60 and 266,140.80 is: 399,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,858.40 : 611,787.60 = 266,140.80 : x
  2. Step 2: Convert to fraction form
    407,858.40/611,787.60 = 266,140.80/x
  3. Step 3: Cross multiply
    407,858.40x = 611,787.60 × 266,140.80
  4. Step 4: Simplify right side
    407,858.40x = 162,821,641,294.08
  5. Step 5: Solve for x
    x = 162,821,641,294.08/407,858.40
  6. Step 6: Final answer
    x = 399,211.20

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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.