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Finding the Fourth Proportional to 424,171, 585,359.58 and 233,180.20

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Solution

The fourth proportional to 424,171, 585,359.58 and 233,180.20 is: 321,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,171 : 585,359.58 = 233,180.20 : x
  2. Step 2: Convert to fraction form
    424,171/585,359.58 = 233,180.20/x
  3. Step 3: Cross multiply
    424,171x = 585,359.58 × 233,180.20
  4. Step 4: Simplify right side
    424,171x = 136,494,263,936.32
  5. Step 5: Solve for x
    x = 136,494,263,936.32/424,171
  6. Step 6: Final answer
    x = 321,790.66

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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.