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Finding the Fourth Proportional to 397,203.72, 547,696.12 and 372,009.48

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Solution

The fourth proportional to 397,203.72, 547,696.12 and 372,009.48 is: 512,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,203.72 : 547,696.12 = 372,009.48 : x
  2. Step 2: Convert to fraction form
    397,203.72/547,696.12 = 372,009.48/x
  3. Step 3: Cross multiply
    397,203.72x = 547,696.12 × 372,009.48
  4. Step 4: Simplify right side
    397,203.72x = 203,748,148,799.22
  5. Step 5: Solve for x
    x = 203,748,148,799.22/397,203.72
  6. Step 6: Final answer
    x = 512,956.30

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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.