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Finding the Fourth Proportional to 410,093.01, 565,928.91 and 240,327

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Solution

The fourth proportional to 410,093.01, 565,928.91 and 240,327 is: 331,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,093.01 : 565,928.91 = 240,327 : x
  2. Step 2: Convert to fraction form
    410,093.01/565,928.91 = 240,327/x
  3. Step 3: Cross multiply
    410,093.01x = 565,928.91 × 240,327
  4. Step 4: Simplify right side
    410,093.01x = 136,007,997,153.57
  5. Step 5: Solve for x
    x = 136,007,997,153.57/410,093.01
  6. Step 6: Final answer
    x = 331,651.59

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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.