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Finding the Fourth Proportional to 409,928.90, 565,702.87 and 228,652.57

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Solution

The fourth proportional to 409,928.90, 565,702.87 and 228,652.57 is: 315,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,928.90 : 565,702.87 = 228,652.57 : x
  2. Step 2: Convert to fraction form
    409,928.90/565,702.87 = 228,652.57/x
  3. Step 3: Cross multiply
    409,928.90x = 565,702.87 × 228,652.57
  4. Step 4: Simplify right side
    409,928.90x = 129,349,414,796.06
  5. Step 5: Solve for x
    x = 129,349,414,796.06/409,928.90
  6. Step 6: Final answer
    x = 315,541.10

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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.