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Finding the Fourth Proportional to 409,507.94, 565,469.28 and 256,801.88

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Solution

The fourth proportional to 409,507.94, 565,469.28 and 256,801.88 is: 354,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,507.94 : 565,469.28 = 256,801.88 : x
  2. Step 2: Convert to fraction form
    409,507.94/565,469.28 = 256,801.88/x
  3. Step 3: Cross multiply
    409,507.94x = 565,469.28 × 256,801.88
  4. Step 4: Simplify right side
    409,507.94x = 145,213,571,358.90
  5. Step 5: Solve for x
    x = 145,213,571,358.90/409,507.94
  6. Step 6: Final answer
    x = 354,605.02

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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.