Home / 314,110.20-471,165.30-214,577.40

Finding the Fourth Proportional to 314,110.20, 471,165.30 and 214,577.40

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Solution

The fourth proportional to 314,110.20, 471,165.30 and 214,577.40 is: 321,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,110.20 : 471,165.30 = 214,577.40 : x
  2. Step 2: Convert to fraction form
    314,110.20/471,165.30 = 214,577.40/x
  3. Step 3: Cross multiply
    314,110.20x = 471,165.30 × 214,577.40
  4. Step 4: Simplify right side
    314,110.20x = 101,101,425,044.22
  5. Step 5: Solve for x
    x = 101,101,425,044.22/314,110.20
  6. Step 6: Final answer
    x = 321,866.10

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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.