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Finding the Fourth Proportional to 409,702.98, 565,392.48 and 228,426.32

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Solution

The fourth proportional to 409,702.98, 565,392.48 and 228,426.32 is: 315,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,702.98 : 565,392.48 = 228,426.32 : x
  2. Step 2: Convert to fraction form
    409,702.98/565,392.48 = 228,426.32/x
  3. Step 3: Cross multiply
    409,702.98x = 565,392.48 × 228,426.32
  4. Step 4: Simplify right side
    409,702.98x = 129,150,523,562.07
  5. Step 5: Solve for x
    x = 129,150,523,562.07/409,702.98
  6. Step 6: Final answer
    x = 315,229.64

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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.