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Finding the Fourth Proportional to 312,612.42, 431,421.90 and 176,652.09

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Solution

The fourth proportional to 312,612.42, 431,421.90 and 176,652.09 is: 243,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,612.42 : 431,421.90 = 176,652.09 : x
  2. Step 2: Convert to fraction form
    312,612.42/431,421.90 = 176,652.09/x
  3. Step 3: Cross multiply
    312,612.42x = 431,421.90 × 176,652.09
  4. Step 4: Simplify right side
    312,612.42x = 76,211,580,306.77
  5. Step 5: Solve for x
    x = 76,211,580,306.77/312,612.42
  6. Step 6: Final answer
    x = 243,789.36

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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.