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Finding the Fourth Proportional to 424,011.96, 585,129.78 and 233,021.25

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Solution

The fourth proportional to 424,011.96, 585,129.78 and 233,021.25 is: 321,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,011.96 : 585,129.78 = 233,021.25 : x
  2. Step 2: Convert to fraction form
    424,011.96/585,129.78 = 233,021.25/x
  3. Step 3: Cross multiply
    424,011.96x = 585,129.78 × 233,021.25
  4. Step 4: Simplify right side
    424,011.96x = 136,347,672,747.83
  5. Step 5: Solve for x
    x = 136,347,672,747.83/424,011.96
  6. Step 6: Final answer
    x = 321,565.63

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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.