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Finding the Fourth Proportional to 409,905.04, 565,667.76 and 228,617.20

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Solution

The fourth proportional to 409,905.04, 565,667.76 and 228,617.20 is: 315,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,905.04 : 565,667.76 = 228,617.20 : x
  2. Step 2: Convert to fraction form
    409,905.04/565,667.76 = 228,617.20/x
  3. Step 3: Cross multiply
    409,905.04x = 565,667.76 × 228,617.20
  4. Step 4: Simplify right side
    409,905.04x = 129,321,379,421.47
  5. Step 5: Solve for x
    x = 129,321,379,421.47/409,905.04
  6. Step 6: Final answer
    x = 315,491.07

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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.