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Finding the Fourth Proportional to 647,022.40, 970,533.60 and 331,374.40

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Solution

The fourth proportional to 647,022.40, 970,533.60 and 331,374.40 is: 497,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,022.40 : 970,533.60 = 331,374.40 : x
  2. Step 2: Convert to fraction form
    647,022.40/970,533.60 = 331,374.40/x
  3. Step 3: Cross multiply
    647,022.40x = 970,533.60 × 331,374.40
  4. Step 4: Simplify right side
    647,022.40x = 321,609,989,379.84
  5. Step 5: Solve for x
    x = 321,609,989,379.84/647,022.40
  6. Step 6: Final answer
    x = 497,061.60

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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.