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Finding the Fourth Proportional to 409,818.48, 565,578.36 and 228,542.64

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Solution

The fourth proportional to 409,818.48, 565,578.36 and 228,542.64 is: 315,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,818.48 : 565,578.36 = 228,542.64 : x
  2. Step 2: Convert to fraction form
    409,818.48/565,578.36 = 228,542.64/x
  3. Step 3: Cross multiply
    409,818.48x = 565,578.36 × 228,542.64
  4. Step 4: Simplify right side
    409,818.48x = 129,258,771,521.27
  5. Step 5: Solve for x
    x = 129,258,771,521.27/409,818.48
  6. Step 6: Final answer
    x = 315,404.94

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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.