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Finding the Fourth Proportional to 409,846.69, 565,587.34 and 228,558.83

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Solution

The fourth proportional to 409,846.69, 565,587.34 and 228,558.83 is: 315,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,846.69 : 565,587.34 = 228,558.83 : x
  2. Step 2: Convert to fraction form
    409,846.69/565,587.34 = 228,558.83/x
  3. Step 3: Cross multiply
    409,846.69x = 565,587.34 × 228,558.83
  4. Step 4: Simplify right side
    409,846.69x = 129,269,980,693.21
  5. Step 5: Solve for x
    x = 129,269,980,693.21/409,846.69
  6. Step 6: Final answer
    x = 315,410.58

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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.