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Finding the Fourth Proportional to 463,323.29, 639,354.83 and 256,576.82

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Solution

The fourth proportional to 463,323.29, 639,354.83 and 256,576.82 is: 354,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,323.29 : 639,354.83 = 256,576.82 : x
  2. Step 2: Convert to fraction form
    463,323.29/639,354.83 = 256,576.82/x
  3. Step 3: Cross multiply
    463,323.29x = 639,354.83 × 256,576.82
  4. Step 4: Simplify right side
    463,323.29x = 164,043,624,653.38
  5. Step 5: Solve for x
    x = 164,043,624,653.38/463,323.29
  6. Step 6: Final answer
    x = 354,058.67

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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.