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Finding the Fourth Proportional to 469,336.83, 647,576.32 and 316,658.27

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Solution

The fourth proportional to 469,336.83, 647,576.32 and 316,658.27 is: 436,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,336.83 : 647,576.32 = 316,658.27 : x
  2. Step 2: Convert to fraction form
    469,336.83/647,576.32 = 316,658.27/x
  3. Step 3: Cross multiply
    469,336.83x = 647,576.32 × 316,658.27
  4. Step 4: Simplify right side
    469,336.83x = 205,060,397,184.17
  5. Step 5: Solve for x
    x = 205,060,397,184.17/469,336.83
  6. Step 6: Final answer
    x = 436,915.20

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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.