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Finding the Fourth Proportional to 409,838.98, 565,580.22 and 228,562.36

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Solution

The fourth proportional to 409,838.98, 565,580.22 and 228,562.36 is: 315,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,838.98 : 565,580.22 = 228,562.36 : x
  2. Step 2: Convert to fraction form
    409,838.98/565,580.22 = 228,562.36/x
  3. Step 3: Cross multiply
    409,838.98x = 565,580.22 × 228,562.36
  4. Step 4: Simplify right side
    409,838.98x = 129,270,349,852.52
  5. Step 5: Solve for x
    x = 129,270,349,852.52/409,838.98
  6. Step 6: Final answer
    x = 315,417.41

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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.