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Finding the Fourth Proportional to 406,197, 560,422.26 and 263,066.76

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Solution

The fourth proportional to 406,197, 560,422.26 and 263,066.76 is: 362,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,197 : 560,422.26 = 263,066.76 : x
  2. Step 2: Convert to fraction form
    406,197/560,422.26 = 263,066.76/x
  3. Step 3: Cross multiply
    406,197x = 560,422.26 × 263,066.76
  4. Step 4: Simplify right side
    406,197x = 147,428,468,170.08
  5. Step 5: Solve for x
    x = 147,428,468,170.08/406,197
  6. Step 6: Final answer
    x = 362,948.20

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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.