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Finding the Fourth Proportional to 496,378.72, 684,775.12 and 292,331.96

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Solution

The fourth proportional to 496,378.72, 684,775.12 and 292,331.96 is: 403,284.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,378.72 : 684,775.12 = 292,331.96 : x
  2. Step 2: Convert to fraction form
    496,378.72/684,775.12 = 292,331.96/x
  3. Step 3: Cross multiply
    496,378.72x = 684,775.12 × 292,331.96
  4. Step 4: Simplify right side
    496,378.72x = 200,181,652,988.84
  5. Step 5: Solve for x
    x = 200,181,652,988.84/496,378.72
  6. Step 6: Final answer
    x = 403,284.12

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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.