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Finding the Fourth Proportional to 409,862.44, 565,609.07 and 228,574.58

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Solution

The fourth proportional to 409,862.44, 565,609.07 and 228,574.58 is: 315,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,862.44 : 565,609.07 = 228,574.58 : x
  2. Step 2: Convert to fraction form
    409,862.44/565,609.07 = 228,574.58/x
  3. Step 3: Cross multiply
    409,862.44x = 565,609.07 × 228,574.58
  4. Step 4: Simplify right side
    409,862.44x = 129,283,854,476.57
  5. Step 5: Solve for x
    x = 129,283,854,476.57/409,862.44
  6. Step 6: Final answer
    x = 315,432.31

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Why These Related Problems?

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