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Finding the Fourth Proportional to 706,003.20, 974,284.56 and 383,713.38

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Solution

The fourth proportional to 706,003.20, 974,284.56 and 383,713.38 is: 529,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,003.20 : 974,284.56 = 383,713.38 : x
  2. Step 2: Convert to fraction form
    706,003.20/974,284.56 = 383,713.38/x
  3. Step 3: Cross multiply
    706,003.20x = 974,284.56 × 383,713.38
  4. Step 4: Simplify right side
    706,003.20x = 373,846,021,599.41
  5. Step 5: Solve for x
    x = 373,846,021,599.41/706,003.20
  6. Step 6: Final answer
    x = 529,524.54

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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.