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Finding the Fourth Proportional to 409,638.57, 565,069.70 and 256,410.77

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Solution

The fourth proportional to 409,638.57, 565,069.70 and 256,410.77 is: 353,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,638.57 : 565,069.70 = 256,410.77 : x
  2. Step 2: Convert to fraction form
    409,638.57/565,069.70 = 256,410.77/x
  3. Step 3: Cross multiply
    409,638.57x = 565,069.70 × 256,410.77
  4. Step 4: Simplify right side
    409,638.57x = 144,889,952,773.27
  5. Step 5: Solve for x
    x = 144,889,952,773.27/409,638.57
  6. Step 6: Final answer
    x = 353,701.93

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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.