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Finding the Fourth Proportional to 406,978.20, 610,467.30 and 265,260.60

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Solution

The fourth proportional to 406,978.20, 610,467.30 and 265,260.60 is: 397,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978.20 : 610,467.30 = 265,260.60 : x
  2. Step 2: Convert to fraction form
    406,978.20/610,467.30 = 265,260.60/x
  3. Step 3: Cross multiply
    406,978.20x = 610,467.30 × 265,260.60
  4. Step 4: Simplify right side
    406,978.20x = 161,932,922,278.38
  5. Step 5: Solve for x
    x = 161,932,922,278.38/406,978.20
  6. Step 6: Final answer
    x = 397,890.90

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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.