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Finding the Fourth Proportional to 409,946.64, 565,728.45 and 226,191.56

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Solution

The fourth proportional to 409,946.64, 565,728.45 and 226,191.56 is: 312,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,946.64 : 565,728.45 = 226,191.56 : x
  2. Step 2: Convert to fraction form
    409,946.64/565,728.45 = 226,191.56/x
  3. Step 3: Cross multiply
    409,946.64x = 565,728.45 × 226,191.56
  4. Step 4: Simplify right side
    409,946.64x = 127,963,003,010.68
  5. Step 5: Solve for x
    x = 127,963,003,010.68/409,946.64
  6. Step 6: Final answer
    x = 312,145.51

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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.