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Finding the Fourth Proportional to 409,825.98, 565,562.32 and 228,549.37

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Solution

The fourth proportional to 409,825.98, 565,562.32 and 228,549.37 is: 315,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,825.98 : 565,562.32 = 228,549.37 : x
  2. Step 2: Convert to fraction form
    409,825.98/565,562.32 = 228,549.37/x
  3. Step 3: Cross multiply
    409,825.98x = 565,562.32 × 228,549.37
  4. Step 4: Simplify right side
    409,825.98x = 129,258,909,416.25
  5. Step 5: Solve for x
    x = 129,258,909,416.25/409,825.98
  6. Step 6: Final answer
    x = 315,399.50

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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.