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Finding the Fourth Proportional to 312,234.96, 430,894.68 and 191,352.89

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Solution

The fourth proportional to 312,234.96, 430,894.68 and 191,352.89 is: 264,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,234.96 : 430,894.68 = 191,352.89 : x
  2. Step 2: Convert to fraction form
    312,234.96/430,894.68 = 191,352.89/x
  3. Step 3: Cross multiply
    312,234.96x = 430,894.68 × 191,352.89
  4. Step 4: Simplify right side
    312,234.96x = 82,452,942,303.63
  5. Step 5: Solve for x
    x = 82,452,942,303.63/312,234.96
  6. Step 6: Final answer
    x = 264,073.38

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1.5x scale

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.