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Finding the Fourth Proportional to 406,314, 560,527.26 and 263,120.16

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Solution

The fourth proportional to 406,314, 560,527.26 and 263,120.16 is: 362,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,314 : 560,527.26 = 263,120.16 : x
  2. Step 2: Convert to fraction form
    406,314/560,527.26 = 263,120.16/x
  3. Step 3: Cross multiply
    406,314x = 560,527.26 × 263,120.16
  4. Step 4: Simplify right side
    406,314x = 147,486,022,335.56
  5. Step 5: Solve for x
    x = 147,486,022,335.56/406,314
  6. Step 6: Final answer
    x = 362,985.33

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