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Finding the Fourth Proportional to 705,763.31, 973,951.74 and 383,474.70

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Solution

The fourth proportional to 705,763.31, 973,951.74 and 383,474.70 is: 529,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,763.31 : 973,951.74 = 383,474.70 : x
  2. Step 2: Convert to fraction form
    705,763.31/973,951.74 = 383,474.70/x
  3. Step 3: Cross multiply
    705,763.31x = 973,951.74 × 383,474.70
  4. Step 4: Simplify right side
    705,763.31x = 373,485,851,310.98
  5. Step 5: Solve for x
    x = 373,485,851,310.98/705,763.31
  6. Step 6: Final answer
    x = 529,194.21

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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.