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Finding the Fourth Proportional to 411,492.24, 567,846.24 and 230,207.34

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Solution

The fourth proportional to 411,492.24, 567,846.24 and 230,207.34 is: 317,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,492.24 : 567,846.24 = 230,207.34 : x
  2. Step 2: Convert to fraction form
    411,492.24/567,846.24 = 230,207.34/x
  3. Step 3: Cross multiply
    411,492.24x = 567,846.24 × 230,207.34
  4. Step 4: Simplify right side
    411,492.24x = 130,722,372,439.40
  5. Step 5: Solve for x
    x = 130,722,372,439.40/411,492.24
  6. Step 6: Final answer
    x = 317,678.83

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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.