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Finding the Fourth Proportional to 470,950.25, 649,897.83 and 267,020.70

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Solution

The fourth proportional to 470,950.25, 649,897.83 and 267,020.70 is: 368,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,950.25 : 649,897.83 = 267,020.70 : x
  2. Step 2: Convert to fraction form
    470,950.25/649,897.83 = 267,020.70/x
  3. Step 3: Cross multiply
    470,950.25x = 649,897.83 × 267,020.70
  4. Step 4: Simplify right side
    470,950.25x = 173,536,173,495.08
  5. Step 5: Solve for x
    x = 173,536,173,495.08/470,950.25
  6. Step 6: Final answer
    x = 368,480.91

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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.