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Finding the Fourth Proportional to 307,213.10, 431,342.50 and 307,213.10

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Solution

The fourth proportional to 307,213.10, 431,342.50 and 307,213.10 is: 431,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,213.10 : 431,342.50 = 307,213.10 : x
  2. Step 2: Convert to fraction form
    307,213.10/431,342.50 = 307,213.10/x
  3. Step 3: Cross multiply
    307,213.10x = 431,342.50 × 307,213.10
  4. Step 4: Simplify right side
    307,213.10x = 132,514,066,586.75
  5. Step 5: Solve for x
    x = 132,514,066,586.75/307,213.10
  6. Step 6: Final answer
    x = 431,342.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.