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Finding the Fourth Proportional to 483,817.60, 724,851.60 and 413,833.60

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Solution

The fourth proportional to 483,817.60, 724,851.60 and 413,833.60 is: 620,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,817.60 : 724,851.60 = 413,833.60 : x
  2. Step 2: Convert to fraction form
    483,817.60/724,851.60 = 413,833.60/x
  3. Step 3: Cross multiply
    483,817.60x = 724,851.60 × 413,833.60
  4. Step 4: Simplify right side
    483,817.60x = 299,967,947,093.76
  5. Step 5: Solve for x
    x = 299,967,947,093.76/483,817.60
  6. Step 6: Final answer
    x = 620,002.14

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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.