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Finding the Fourth Proportional to 470,930.49, 649,870.45 and 267,000.32

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Solution

The fourth proportional to 470,930.49, 649,870.45 and 267,000.32 is: 368,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,930.49 : 649,870.45 = 267,000.32 : x
  2. Step 2: Convert to fraction form
    470,930.49/649,870.45 = 267,000.32/x
  3. Step 3: Cross multiply
    470,930.49x = 649,870.45 × 267,000.32
  4. Step 4: Simplify right side
    470,930.49x = 173,515,619,065.72
  5. Step 5: Solve for x
    x = 173,515,619,065.72/470,930.49
  6. Step 6: Final answer
    x = 368,452.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.