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Finding the Fourth Proportional to 365,062.40, 547,684.32 and 215,426.24

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Solution

The fourth proportional to 365,062.40, 547,684.32 and 215,426.24 is: 323,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,062.40 : 547,684.32 = 215,426.24 : x
  2. Step 2: Convert to fraction form
    365,062.40/547,684.32 = 215,426.24/x
  3. Step 3: Cross multiply
    365,062.40x = 547,684.32 × 215,426.24
  4. Step 4: Simplify right side
    365,062.40x = 117,985,573,764.56
  5. Step 5: Solve for x
    x = 117,985,573,764.56/365,062.40
  6. Step 6: Final answer
    x = 323,192.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.