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Finding the Fourth Proportional to 312,673, 431,488.74 and 178,537

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Solution

The fourth proportional to 312,673, 431,488.74 and 178,537 is: 246,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,673 : 431,488.74 = 178,537 : x
  2. Step 2: Convert to fraction form
    312,673/431,488.74 = 178,537/x
  3. Step 3: Cross multiply
    312,673x = 431,488.74 × 178,537
  4. Step 4: Simplify right side
    312,673x = 77,036,705,173.38
  5. Step 5: Solve for x
    x = 77,036,705,173.38/312,673
  6. Step 6: Final answer
    x = 246,381.06

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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.