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Finding the Fourth Proportional to 312,350, 431,009.93 and 176,375.71

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Solution

The fourth proportional to 312,350, 431,009.93 and 176,375.71 is: 243,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,350 : 431,009.93 = 176,375.71 : x
  2. Step 2: Convert to fraction form
    312,350/431,009.93 = 176,375.71/x
  3. Step 3: Cross multiply
    312,350x = 431,009.93 × 176,375.71
  4. Step 4: Simplify right side
    312,350x = 76,019,679,383.87
  5. Step 5: Solve for x
    x = 76,019,679,383.87/312,350
  6. Step 6: Final answer
    x = 243,379.80

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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.