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Finding the Fourth Proportional to 471,058.32, 650,063.64 and 256,200

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Solution

The fourth proportional to 471,058.32, 650,063.64 and 256,200 is: 353,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,058.32 : 650,063.64 = 256,200 : x
  2. Step 2: Convert to fraction form
    471,058.32/650,063.64 = 256,200/x
  3. Step 3: Cross multiply
    471,058.32x = 650,063.64 × 256,200
  4. Step 4: Simplify right side
    471,058.32x = 166,546,304,568
  5. Step 5: Solve for x
    x = 166,546,304,568/471,058.32
  6. Step 6: Final answer
    x = 353,557.72

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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.