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Finding the Fourth Proportional to 409,984.02, 565,782.21 and 228,712.50

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Solution

The fourth proportional to 409,984.02, 565,782.21 and 228,712.50 is: 315,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,984.02 : 565,782.21 = 228,712.50 : x
  2. Step 2: Convert to fraction form
    409,984.02/565,782.21 = 228,712.50/x
  3. Step 3: Cross multiply
    409,984.02x = 565,782.21 × 228,712.50
  4. Step 4: Simplify right side
    409,984.02x = 129,401,463,704.63
  5. Step 5: Solve for x
    x = 129,401,463,704.63/409,984.02
  6. Step 6: Final answer
    x = 315,625.63

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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.