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Finding the Fourth Proportional to 471,024.26, 650,007.30 and 256,159.70

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Solution

The fourth proportional to 471,024.26, 650,007.30 and 256,159.70 is: 353,497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,024.26 : 650,007.30 = 256,159.70 : x
  2. Step 2: Convert to fraction form
    471,024.26/650,007.30 = 256,159.70/x
  3. Step 3: Cross multiply
    471,024.26x = 650,007.30 × 256,159.70
  4. Step 4: Simplify right side
    471,024.26x = 166,505,674,965.81
  5. Step 5: Solve for x
    x = 166,505,674,965.81/471,024.26
  6. Step 6: Final answer
    x = 353,497.03

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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.