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Finding the Fourth Proportional to 409,835.48, 565,575.39 and 228,558.86

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Solution

The fourth proportional to 409,835.48, 565,575.39 and 228,558.86 is: 315,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,835.48 : 565,575.39 = 228,558.86 : x
  2. Step 2: Convert to fraction form
    409,835.48/565,575.39 = 228,558.86/x
  3. Step 3: Cross multiply
    409,835.48x = 565,575.39 × 228,558.86
  4. Step 4: Simplify right side
    409,835.48x = 129,267,266,382.46
  5. Step 5: Solve for x
    x = 129,267,266,382.46/409,835.48
  6. Step 6: Final answer
    x = 315,412.58

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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.