Home / 313,742.14-470,405.10-114,038.80

Finding the Fourth Proportional to 313,742.14, 470,405.10 and 114,038.80

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Solution

The fourth proportional to 313,742.14, 470,405.10 and 114,038.80 is: 170,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,742.14 : 470,405.10 = 114,038.80 : x
  2. Step 2: Convert to fraction form
    313,742.14/470,405.10 = 114,038.80/x
  3. Step 3: Cross multiply
    313,742.14x = 470,405.10 × 114,038.80
  4. Step 4: Simplify right side
    313,742.14x = 53,644,433,117.88
  5. Step 5: Solve for x
    x = 53,644,433,117.88/313,742.14
  6. Step 6: Final answer
    x = 170,982.56

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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.