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Finding the Fourth Proportional to 409,601.82, 565,253.07 and 228,325.26

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Solution

The fourth proportional to 409,601.82, 565,253.07 and 228,325.26 is: 315,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,601.82 : 565,253.07 = 228,325.26 : x
  2. Step 2: Convert to fraction form
    409,601.82/565,253.07 = 228,325.26/x
  3. Step 3: Cross multiply
    409,601.82x = 565,253.07 × 228,325.26
  4. Step 4: Simplify right side
    409,601.82x = 129,061,554,173.55
  5. Step 5: Solve for x
    x = 129,061,554,173.55/409,601.82
  6. Step 6: Final answer
    x = 315,090.28

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1.5x scale

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.