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Finding the Fourth Proportional to 470,990.16, 649,952 and 267,059.76

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Solution

The fourth proportional to 470,990.16, 649,952 and 267,059.76 is: 368,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,990.16 : 649,952 = 267,059.76 : x
  2. Step 2: Convert to fraction form
    470,990.16/649,952 = 267,059.76/x
  3. Step 3: Cross multiply
    470,990.16x = 649,952 × 267,059.76
  4. Step 4: Simplify right side
    470,990.16x = 173,576,025,131.52
  5. Step 5: Solve for x
    x = 173,576,025,131.52/470,990.16
  6. Step 6: Final answer
    x = 368,534.29

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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.