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Finding the Fourth Proportional to 424,173, 585,362.34 and 233,182.20

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Solution

The fourth proportional to 424,173, 585,362.34 and 233,182.20 is: 321,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,173 : 585,362.34 = 233,182.20 : x
  2. Step 2: Convert to fraction form
    424,173/585,362.34 = 233,182.20/x
  3. Step 3: Cross multiply
    424,173x = 585,362.34 × 233,182.20
  4. Step 4: Simplify right side
    424,173x = 136,496,078,238.35
  5. Step 5: Solve for x
    x = 136,496,078,238.35/424,173
  6. Step 6: Final answer
    x = 321,793.42

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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.