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Finding the Fourth Proportional to 409,984.41, 565,779.38 and 228,708.07

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Solution

The fourth proportional to 409,984.41, 565,779.38 and 228,708.07 is: 315,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,984.41 : 565,779.38 = 228,708.07 : x
  2. Step 2: Convert to fraction form
    409,984.41/565,779.38 = 228,708.07/x
  3. Step 3: Cross multiply
    409,984.41x = 565,779.38 × 228,708.07
  4. Step 4: Simplify right side
    409,984.41x = 129,398,310,045.60
  5. Step 5: Solve for x
    x = 129,398,310,045.60/409,984.41
  6. Step 6: Final answer
    x = 315,617.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.