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Finding the Fourth Proportional to 471,282.66, 650,376.72 and 256,422.87

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Solution

The fourth proportional to 471,282.66, 650,376.72 and 256,422.87 is: 353,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,282.66 : 650,376.72 = 256,422.87 : x
  2. Step 2: Convert to fraction form
    471,282.66/650,376.72 = 256,422.87/x
  3. Step 3: Cross multiply
    471,282.66x = 650,376.72 × 256,422.87
  4. Step 4: Simplify right side
    471,282.66x = 166,771,465,123.59
  5. Step 5: Solve for x
    x = 166,771,465,123.59/471,282.66
  6. Step 6: Final answer
    x = 353,867.18

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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.