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Finding the Fourth Proportional to 470,560.80, 704,804.40 and 283,245.60

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Solution

The fourth proportional to 470,560.80, 704,804.40 and 283,245.60 is: 424,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,560.80 : 704,804.40 = 283,245.60 : x
  2. Step 2: Convert to fraction form
    470,560.80/704,804.40 = 283,245.60/x
  3. Step 3: Cross multiply
    470,560.80x = 704,804.40 × 283,245.60
  4. Step 4: Simplify right side
    470,560.80x = 199,632,745,160.64
  5. Step 5: Solve for x
    x = 199,632,745,160.64/470,560.80
  6. Step 6: Final answer
    x = 424,244.32

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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.