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Finding the Fourth Proportional to 307,212.10, 431,341.10 and 307,212.10

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Solution

The fourth proportional to 307,212.10, 431,341.10 and 307,212.10 is: 431,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,212.10 : 431,341.10 = 307,212.10 : x
  2. Step 2: Convert to fraction form
    307,212.10/431,341.10 = 307,212.10/x
  3. Step 3: Cross multiply
    307,212.10x = 431,341.10 × 307,212.10
  4. Step 4: Simplify right side
    307,212.10x = 132,513,205,147.31
  5. Step 5: Solve for x
    x = 132,513,205,147.31/307,212.10
  6. Step 6: Final answer
    x = 431,341.10

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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.