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Finding the Fourth Proportional to 314,097.80, 470,628.30 and 267,441.80

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Solution

The fourth proportional to 314,097.80, 470,628.30 and 267,441.80 is: 400,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,097.80 : 470,628.30 = 267,441.80 : x
  2. Step 2: Convert to fraction form
    314,097.80/470,628.30 = 267,441.80/x
  3. Step 3: Cross multiply
    314,097.80x = 470,628.30 × 267,441.80
  4. Step 4: Simplify right side
    314,097.80x = 125,865,679,682.94
  5. Step 5: Solve for x
    x = 125,865,679,682.94/314,097.80
  6. Step 6: Final answer
    x = 400,721.30

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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.