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Finding the Fourth Proportional to 406,434.26, 560,873.22 and 225,145.64

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Solution

The fourth proportional to 406,434.26, 560,873.22 and 225,145.64 is: 310,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,434.26 : 560,873.22 = 225,145.64 : x
  2. Step 2: Convert to fraction form
    406,434.26/560,873.22 = 225,145.64/x
  3. Step 3: Cross multiply
    406,434.26x = 560,873.22 × 225,145.64
  4. Step 4: Simplify right side
    406,434.26x = 126,278,160,075.76
  5. Step 5: Solve for x
    x = 126,278,160,075.76/406,434.26
  6. Step 6: Final answer
    x = 310,697.63

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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.