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Finding the Fourth Proportional to 482,913.20, 724,830.60 and 412,871.60

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Solution

The fourth proportional to 482,913.20, 724,830.60 and 412,871.60 is: 619,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,913.20 : 724,830.60 = 412,871.60 : x
  2. Step 2: Convert to fraction form
    482,913.20/724,830.60 = 412,871.60/x
  3. Step 3: Cross multiply
    482,913.20x = 724,830.60 × 412,871.60
  4. Step 4: Simplify right side
    482,913.20x = 299,261,969,550.96
  5. Step 5: Solve for x
    x = 299,261,969,550.96/482,913.20
  6. Step 6: Final answer
    x = 619,701.37

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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.