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Finding the Fourth Proportional to 415,824.92, 620,729.36 and 365,379.74

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Solution

The fourth proportional to 415,824.92, 620,729.36 and 365,379.74 is: 545,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,824.92 : 620,729.36 = 365,379.74 : x
  2. Step 2: Convert to fraction form
    415,824.92/620,729.36 = 365,379.74/x
  3. Step 3: Cross multiply
    415,824.92x = 620,729.36 × 365,379.74
  4. Step 4: Simplify right side
    415,824.92x = 226,801,932,167.17
  5. Step 5: Solve for x
    x = 226,801,932,167.17/415,824.92
  6. Step 6: Final answer
    x = 545,426.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.