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Finding the Fourth Proportional to 406,846.12, 561,287.46 and 253,795.24

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Solution

The fourth proportional to 406,846.12, 561,287.46 and 253,795.24 is: 350,137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,846.12 : 561,287.46 = 253,795.24 : x
  2. Step 2: Convert to fraction form
    406,846.12/561,287.46 = 253,795.24/x
  3. Step 3: Cross multiply
    406,846.12x = 561,287.46 × 253,795.24
  4. Step 4: Simplify right side
    406,846.12x = 142,452,085,619.69
  5. Step 5: Solve for x
    x = 142,452,085,619.69/406,846.12
  6. Step 6: Final answer
    x = 350,137.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.