Home / 314,057.12-470,907.23-214,338.12

Finding the Fourth Proportional to 314,057.12, 470,907.23 and 214,338.12

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Solution

The fourth proportional to 314,057.12, 470,907.23 and 214,338.12 is: 321,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,057.12 : 470,907.23 = 214,338.12 : x
  2. Step 2: Convert to fraction form
    314,057.12/470,907.23 = 214,338.12/x
  3. Step 3: Cross multiply
    314,057.12x = 470,907.23 × 214,338.12
  4. Step 4: Simplify right side
    314,057.12x = 100,933,369,300.92
  5. Step 5: Solve for x
    x = 100,933,369,300.92/314,057.12
  6. Step 6: Final answer
    x = 321,385.39

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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.