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Finding the Fourth Proportional to 313,396.52, 470,281.50 and 113,732.48

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Solution

The fourth proportional to 313,396.52, 470,281.50 and 113,732.48 is: 170,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,396.52 : 470,281.50 = 113,732.48 : x
  2. Step 2: Convert to fraction form
    313,396.52/470,281.50 = 113,732.48/x
  3. Step 3: Cross multiply
    313,396.52x = 470,281.50 × 113,732.48
  4. Step 4: Simplify right side
    313,396.52x = 53,486,281,293.12
  5. Step 5: Solve for x
    x = 53,486,281,293.12/313,396.52
  6. Step 6: Final answer
    x = 170,666.48

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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.