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Finding the Fourth Proportional to 497,394.12, 745,537.12 and 197,794.56

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Solution

The fourth proportional to 497,394.12, 745,537.12 and 197,794.56 is: 296,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,394.12 : 745,537.12 = 197,794.56 : x
  2. Step 2: Convert to fraction form
    497,394.12/745,537.12 = 197,794.56/x
  3. Step 3: Cross multiply
    497,394.12x = 745,537.12 × 197,794.56
  4. Step 4: Simplify right side
    497,394.12x = 147,463,186,614.07
  5. Step 5: Solve for x
    x = 147,463,186,614.07/497,394.12
  6. Step 6: Final answer
    x = 296,471.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.