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Finding the Fourth Proportional to 471,613.26, 650,839.92 and 256,756.98

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Solution

The fourth proportional to 471,613.26, 650,839.92 and 256,756.98 is: 354,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,613.26 : 650,839.92 = 256,756.98 : x
  2. Step 2: Convert to fraction form
    471,613.26/650,839.92 = 256,756.98/x
  3. Step 3: Cross multiply
    471,613.26x = 650,839.92 × 256,756.98
  4. Step 4: Simplify right side
    471,613.26x = 167,107,692,322.64
  5. Step 5: Solve for x
    x = 167,107,692,322.64/471,613.26
  6. Step 6: Final answer
    x = 354,332.05

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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.