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Finding the Fourth Proportional to 409,615.70, 565,272.45 and 228,339.14

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Solution

The fourth proportional to 409,615.70, 565,272.45 and 228,339.14 is: 315,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,615.70 : 565,272.45 = 228,339.14 : x
  2. Step 2: Convert to fraction form
    409,615.70/565,272.45 = 228,339.14/x
  3. Step 3: Cross multiply
    409,615.70x = 565,272.45 × 228,339.14
  4. Step 4: Simplify right side
    409,615.70x = 129,073,825,098.69
  5. Step 5: Solve for x
    x = 129,073,825,098.69/409,615.70
  6. Step 6: Final answer
    x = 315,109.57

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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.