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Finding the Fourth Proportional to 409,400.65, 565,014.45 and 228,142.09

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Solution

The fourth proportional to 409,400.65, 565,014.45 and 228,142.09 is: 314,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,400.65 : 565,014.45 = 228,142.09 : x
  2. Step 2: Convert to fraction form
    409,400.65/565,014.45 = 228,142.09/x
  3. Step 3: Cross multiply
    409,400.65x = 565,014.45 × 228,142.09
  4. Step 4: Simplify right side
    409,400.65x = 128,903,577,503.20
  5. Step 5: Solve for x
    x = 128,903,577,503.20/409,400.65
  6. Step 6: Final answer
    x = 314,859.24

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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.