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Finding the Fourth Proportional to 312,484.05, 431,254.56 and 176,542.98

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Solution

The fourth proportional to 312,484.05, 431,254.56 and 176,542.98 is: 243,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,484.05 : 431,254.56 = 176,542.98 : x
  2. Step 2: Convert to fraction form
    312,484.05/431,254.56 = 176,542.98/x
  3. Step 3: Cross multiply
    312,484.05x = 431,254.56 × 176,542.98
  4. Step 4: Simplify right side
    312,484.05x = 76,134,965,160.99
  5. Step 5: Solve for x
    x = 76,134,965,160.99/312,484.05
  6. Step 6: Final answer
    x = 243,644.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.