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Finding the Fourth Proportional to 256,653.59, 384,713.42 and 96,619.59

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Solution

The fourth proportional to 256,653.59, 384,713.42 and 96,619.59 is: 144,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,653.59 : 384,713.42 = 96,619.59 : x
  2. Step 2: Convert to fraction form
    256,653.59/384,713.42 = 96,619.59/x
  3. Step 3: Cross multiply
    256,653.59x = 384,713.42 × 96,619.59
  4. Step 4: Simplify right side
    256,653.59x = 37,170,852,424.80
  5. Step 5: Solve for x
    x = 37,170,852,424.80/256,653.59
  6. Step 6: Final answer
    x = 144,828.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.