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Finding the Fourth Proportional to 705,991.24, 974,274.31 and 383,702.11

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Solution

The fourth proportional to 705,991.24, 974,274.31 and 383,702.11 is: 529,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,991.24 : 974,274.31 = 383,702.11 : x
  2. Step 2: Convert to fraction form
    705,991.24/974,274.31 = 383,702.11/x
  3. Step 3: Cross multiply
    705,991.24x = 974,274.31 × 383,702.11
  4. Step 4: Simplify right side
    705,991.24x = 373,831,103,594.42
  5. Step 5: Solve for x
    x = 373,831,103,594.42/705,991.24
  6. Step 6: Final answer
    x = 529,512.39

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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.