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Finding the Fourth Proportional to 705,449.44, 973,527.30 and 383,165.84

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Solution

The fourth proportional to 705,449.44, 973,527.30 and 383,165.84 is: 528,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,449.44 : 973,527.30 = 383,165.84 : x
  2. Step 2: Convert to fraction form
    705,449.44/973,527.30 = 383,165.84/x
  3. Step 3: Cross multiply
    705,449.44x = 973,527.30 × 383,165.84
  4. Step 4: Simplify right side
    705,449.44x = 373,022,405,667.43
  5. Step 5: Solve for x
    x = 373,022,405,667.43/705,449.44
  6. Step 6: Final answer
    x = 528,772.70

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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.