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Finding the Fourth Proportional to 312,115.65, 430,582.89 and 182,988.79

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Solution

The fourth proportional to 312,115.65, 430,582.89 and 182,988.79 is: 252,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,115.65 : 430,582.89 = 182,988.79 : x
  2. Step 2: Convert to fraction form
    312,115.65/430,582.89 = 182,988.79/x
  3. Step 3: Cross multiply
    312,115.65x = 430,582.89 × 182,988.79
  4. Step 4: Simplify right side
    312,115.65x = 78,791,842,035.80
  5. Step 5: Solve for x
    x = 78,791,842,035.80/312,115.65
  6. Step 6: Final answer
    x = 252,444.38

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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.