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Finding the Fourth Proportional to 312,262.56, 430,699.68 and 191,432.16

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Solution

The fourth proportional to 312,262.56, 430,699.68 and 191,432.16 is: 264,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,262.56 : 430,699.68 = 191,432.16 : x
  2. Step 2: Convert to fraction form
    312,262.56/430,699.68 = 191,432.16/x
  3. Step 3: Cross multiply
    312,262.56x = 430,699.68 × 191,432.16
  4. Step 4: Simplify right side
    312,262.56x = 82,449,770,053.71
  5. Step 5: Solve for x
    x = 82,449,770,053.71/312,262.56
  6. Step 6: Final answer
    x = 264,039.88

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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.