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Finding the Fourth Proportional to 705,814.01, 974,029.49 and 383,524.09

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Solution

The fourth proportional to 705,814.01, 974,029.49 and 383,524.09 is: 529,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,814.01 : 974,029.49 = 383,524.09 : x
  2. Step 2: Convert to fraction form
    705,814.01/974,029.49 = 383,524.09/x
  3. Step 3: Cross multiply
    705,814.01x = 974,029.49 × 383,524.09
  4. Step 4: Simplify right side
    705,814.01x = 373,563,769,432.72
  5. Step 5: Solve for x
    x = 373,563,769,432.72/705,814.01
  6. Step 6: Final answer
    x = 529,266.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.