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Finding the Fourth Proportional to 705,999.11, 974,285.16 and 383,709.98

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Solution

The fourth proportional to 705,999.11, 974,285.16 and 383,709.98 is: 529,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,999.11 : 974,285.16 = 383,709.98 : x
  2. Step 2: Convert to fraction form
    705,999.11/974,285.16 = 383,709.98/x
  3. Step 3: Cross multiply
    705,999.11x = 974,285.16 × 383,709.98
  4. Step 4: Simplify right side
    705,999.11x = 373,842,939,257.90
  5. Step 5: Solve for x
    x = 373,842,939,257.90/705,999.11
  6. Step 6: Final answer
    x = 529,523.24

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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.