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Finding the Fourth Proportional to 412,437.42, 569,135.43 and 231,118.38

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Solution

The fourth proportional to 412,437.42, 569,135.43 and 231,118.38 is: 318,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,437.42 : 569,135.43 = 231,118.38 : x
  2. Step 2: Convert to fraction form
    412,437.42/569,135.43 = 231,118.38/x
  3. Step 3: Cross multiply
    412,437.42x = 569,135.43 × 231,118.38
  4. Step 4: Simplify right side
    412,437.42x = 131,537,658,582.20
  5. Step 5: Solve for x
    x = 131,537,658,582.20/412,437.42
  6. Step 6: Final answer
    x = 318,927.56

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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.