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Finding the Fourth Proportional to 463,029.56, 694,070.72 and 313,285.66

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Solution

The fourth proportional to 463,029.56, 694,070.72 and 313,285.66 is: 469,608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,029.56 : 694,070.72 = 313,285.66 : x
  2. Step 2: Convert to fraction form
    463,029.56/694,070.72 = 313,285.66/x
  3. Step 3: Cross multiply
    463,029.56x = 694,070.72 × 313,285.66
  4. Step 4: Simplify right side
    463,029.56x = 217,442,403,601.88
  5. Step 5: Solve for x
    x = 217,442,403,601.88/463,029.56
  6. Step 6: Final answer
    x = 469,608.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.