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Finding the Fourth Proportional to 434,814.70, 600,050.26 and 325,725.78

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Solution

The fourth proportional to 434,814.70, 600,050.26 and 325,725.78 is: 449,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,814.70 : 600,050.26 = 325,725.78 : x
  2. Step 2: Convert to fraction form
    434,814.70/600,050.26 = 325,725.78/x
  3. Step 3: Cross multiply
    434,814.70x = 600,050.26 × 325,725.78
  4. Step 4: Simplify right side
    434,814.70x = 195,451,838,977.70
  5. Step 5: Solve for x
    x = 195,451,838,977.70/434,814.70
  6. Step 6: Final answer
    x = 449,506.05

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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.