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Finding the Fourth Proportional to 497,954.08, 687,234.72 and 283,126.33

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Solution

The fourth proportional to 497,954.08, 687,234.72 and 283,126.33 is: 390,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,954.08 : 687,234.72 = 283,126.33 : x
  2. Step 2: Convert to fraction form
    497,954.08/687,234.72 = 283,126.33/x
  3. Step 3: Cross multiply
    497,954.08x = 687,234.72 × 283,126.33
  4. Step 4: Simplify right side
    497,954.08x = 194,574,244,122.18
  5. Step 5: Solve for x
    x = 194,574,244,122.18/497,954.08
  6. Step 6: Final answer
    x = 390,747.36

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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.