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Finding the Fourth Proportional to 435,714.40, 653,571.60 and 330,738.40

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Solution

The fourth proportional to 435,714.40, 653,571.60 and 330,738.40 is: 496,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,714.40 : 653,571.60 = 330,738.40 : x
  2. Step 2: Convert to fraction form
    435,714.40/653,571.60 = 330,738.40/x
  3. Step 3: Cross multiply
    435,714.40x = 653,571.60 × 330,738.40
  4. Step 4: Simplify right side
    435,714.40x = 216,161,225,269.44
  5. Step 5: Solve for x
    x = 216,161,225,269.44/435,714.40
  6. Step 6: Final answer
    x = 496,107.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.