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Finding the Fourth Proportional to 418,202.55, 577,120.14 and 227,215.89

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Solution

The fourth proportional to 418,202.55, 577,120.14 and 227,215.89 is: 313,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,202.55 : 577,120.14 = 227,215.89 : x
  2. Step 2: Convert to fraction form
    418,202.55/577,120.14 = 227,215.89/x
  3. Step 3: Cross multiply
    418,202.55x = 577,120.14 × 227,215.89
  4. Step 4: Simplify right side
    418,202.55x = 131,130,866,247.03
  5. Step 5: Solve for x
    x = 131,130,866,247.03/418,202.55
  6. Step 6: Final answer
    x = 313,558.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.