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Finding the Fourth Proportional to 314,281.30, 470,903.55 and 267,625.30

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Solution

The fourth proportional to 314,281.30, 470,903.55 and 267,625.30 is: 400,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,281.30 : 470,903.55 = 267,625.30 : x
  2. Step 2: Convert to fraction form
    314,281.30/470,903.55 = 267,625.30/x
  3. Step 3: Cross multiply
    314,281.30x = 470,903.55 × 267,625.30
  4. Step 4: Simplify right side
    314,281.30x = 126,025,703,839.82
  5. Step 5: Solve for x
    x = 126,025,703,839.82/314,281.30
  6. Step 6: Final answer
    x = 400,996.51

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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.