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Finding the Fourth Proportional to 409,635.44, 565,065.38 and 256,407.64

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Solution

The fourth proportional to 409,635.44, 565,065.38 and 256,407.64 is: 353,697.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,635.44 : 565,065.38 = 256,407.64 : x
  2. Step 2: Convert to fraction form
    409,635.44/565,065.38 = 256,407.64/x
  3. Step 3: Cross multiply
    409,635.44x = 565,065.38 × 256,407.64
  4. Step 4: Simplify right side
    409,635.44x = 144,887,078,477.82
  5. Step 5: Solve for x
    x = 144,887,078,477.82/409,635.44
  6. Step 6: Final answer
    x = 353,697.62

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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.