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Finding the Fourth Proportional to 341,914.14, 512,412.76 and 266,104.22

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Solution

The fourth proportional to 341,914.14, 512,412.76 and 266,104.22 is: 398,799.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,914.14 : 512,412.76 = 266,104.22 : x
  2. Step 2: Convert to fraction form
    341,914.14/512,412.76 = 266,104.22/x
  3. Step 3: Cross multiply
    341,914.14x = 512,412.76 × 266,104.22
  4. Step 4: Simplify right side
    341,914.14x = 136,355,194,590.52
  5. Step 5: Solve for x
    x = 136,355,194,590.52/341,914.14
  6. Step 6: Final answer
    x = 398,799.52

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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.