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Finding the Fourth Proportional to 471,333.16, 650,429.13 and 256,473.82

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Solution

The fourth proportional to 471,333.16, 650,429.13 and 256,473.82 is: 353,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,333.16 : 650,429.13 = 256,473.82 : x
  2. Step 2: Convert to fraction form
    471,333.16/650,429.13 = 256,473.82/x
  3. Step 3: Cross multiply
    471,333.16x = 650,429.13 × 256,473.82
  4. Step 4: Simplify right side
    471,333.16x = 166,818,043,610.38
  5. Step 5: Solve for x
    x = 166,818,043,610.38/471,333.16
  6. Step 6: Final answer
    x = 353,928.09

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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.