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Finding the Fourth Proportional to 307,942.08, 461,952 and 97,504.80

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Solution

The fourth proportional to 307,942.08, 461,952 and 97,504.80 is: 146,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,942.08 : 461,952 = 97,504.80 : x
  2. Step 2: Convert to fraction form
    307,942.08/461,952 = 97,504.80/x
  3. Step 3: Cross multiply
    307,942.08x = 461,952 × 97,504.80
  4. Step 4: Simplify right side
    307,942.08x = 45,042,537,369.60
  5. Step 5: Solve for x
    x = 45,042,537,369.60/307,942.08
  6. Step 6: Final answer
    x = 146,269.51

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1.5x scale

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.