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Finding the Fourth Proportional to 312,235.68, 430,895.67 and 191,353.61

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Solution

The fourth proportional to 312,235.68, 430,895.67 and 191,353.61 is: 264,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,235.68 : 430,895.67 = 191,353.61 : x
  2. Step 2: Convert to fraction form
    312,235.68/430,895.67 = 191,353.61/x
  3. Step 3: Cross multiply
    312,235.68x = 430,895.67 × 191,353.61
  4. Step 4: Simplify right side
    312,235.68x = 82,453,443,065.11
  5. Step 5: Solve for x
    x = 82,453,443,065.11/312,235.68
  6. Step 6: Final answer
    x = 264,074.38

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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.