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Finding the Fourth Proportional to 705,912.57, 974,165.43 and 383,622.58

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Solution

The fourth proportional to 705,912.57, 974,165.43 and 383,622.58 is: 529,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,912.57 : 974,165.43 = 383,622.58 : x
  2. Step 2: Convert to fraction form
    705,912.57/974,165.43 = 383,622.58/x
  3. Step 3: Cross multiply
    705,912.57x = 974,165.43 × 383,622.58
  4. Step 4: Simplify right side
    705,912.57x = 373,711,858,259.70
  5. Step 5: Solve for x
    x = 373,711,858,259.70/705,912.57
  6. Step 6: Final answer
    x = 529,402.47

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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.