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Finding the Fourth Proportional to 412,782.72, 569,592.48 and 231,495

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Solution

The fourth proportional to 412,782.72, 569,592.48 and 231,495 is: 319,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,782.72 : 569,592.48 = 231,495 : x
  2. Step 2: Convert to fraction form
    412,782.72/569,592.48 = 231,495/x
  3. Step 3: Cross multiply
    412,782.72x = 569,592.48 × 231,495
  4. Step 4: Simplify right side
    412,782.72x = 131,857,811,157.60
  5. Step 5: Solve for x
    x = 131,857,811,157.60/412,782.72
  6. Step 6: Final answer
    x = 319,436.36

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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.