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Finding the Fourth Proportional to 424,399.89, 585,676.74 and 233,416.47

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Solution

The fourth proportional to 424,399.89, 585,676.74 and 233,416.47 is: 322,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,399.89 : 585,676.74 = 233,416.47 : x
  2. Step 2: Convert to fraction form
    424,399.89/585,676.74 = 233,416.47/x
  3. Step 3: Cross multiply
    424,399.89x = 585,676.74 × 233,416.47
  4. Step 4: Simplify right side
    424,399.89x = 136,706,597,211.91
  5. Step 5: Solve for x
    x = 136,706,597,211.91/424,399.89
  6. Step 6: Final answer
    x = 322,117.42

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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.