Home / 313,821.30-470,710.35-100,586.10

Finding the Fourth Proportional to 313,821.30, 470,710.35 and 100,586.10

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Solution

The fourth proportional to 313,821.30, 470,710.35 and 100,586.10 is: 150,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.30 : 470,710.35 = 100,586.10 : x
  2. Step 2: Convert to fraction form
    313,821.30/470,710.35 = 100,586.10/x
  3. Step 3: Cross multiply
    313,821.30x = 470,710.35 × 100,586.10
  4. Step 4: Simplify right side
    313,821.30x = 47,346,918,336.14
  5. Step 5: Solve for x
    x = 47,346,918,336.14/313,821.30
  6. Step 6: Final answer
    x = 150,872.23

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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.