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Finding the Fourth Proportional to 407,894.40, 611,841.60 and 266,176.80

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Solution

The fourth proportional to 407,894.40, 611,841.60 and 266,176.80 is: 399,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,894.40 : 611,841.60 = 266,176.80 : x
  2. Step 2: Convert to fraction form
    407,894.40/611,841.60 = 266,176.80/x
  3. Step 3: Cross multiply
    407,894.40x = 611,841.60 × 266,176.80
  4. Step 4: Simplify right side
    407,894.40x = 162,858,039,194.88
  5. Step 5: Solve for x
    x = 162,858,039,194.88/407,894.40
  6. Step 6: Final answer
    x = 399,265.20

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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.