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Finding the Fourth Proportional to 689,901.12, 952,094.88 and 383,997.06

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Solution

The fourth proportional to 689,901.12, 952,094.88 and 383,997.06 is: 529,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,901.12 : 952,094.88 = 383,997.06 : x
  2. Step 2: Convert to fraction form
    689,901.12/952,094.88 = 383,997.06/x
  3. Step 3: Cross multiply
    689,901.12x = 952,094.88 × 383,997.06
  4. Step 4: Simplify right side
    689,901.12x = 365,601,634,761.05
  5. Step 5: Solve for x
    x = 365,601,634,761.05/689,901.12
  6. Step 6: Final answer
    x = 529,933.38

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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.