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Finding the Fourth Proportional to 497,932.74, 687,144.03 and 283,072.80

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Solution

The fourth proportional to 497,932.74, 687,144.03 and 283,072.80 is: 390,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,932.74 : 687,144.03 = 283,072.80 : x
  2. Step 2: Convert to fraction form
    497,932.74/687,144.03 = 283,072.80/x
  3. Step 3: Cross multiply
    497,932.74x = 687,144.03 × 283,072.80
  4. Step 4: Simplify right side
    497,932.74x = 194,511,784,575.38
  5. Step 5: Solve for x
    x = 194,511,784,575.38/497,932.74
  6. Step 6: Final answer
    x = 390,638.67

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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.