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Finding the Fourth Proportional to 424,389.78, 585,667.26 and 233,412.84

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Solution

The fourth proportional to 424,389.78, 585,667.26 and 233,412.84 is: 322,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,389.78 : 585,667.26 = 233,412.84 : x
  2. Step 2: Convert to fraction form
    424,389.78/585,667.26 = 233,412.84/x
  3. Step 3: Cross multiply
    424,389.78x = 585,667.26 × 233,412.84
  4. Step 4: Simplify right side
    424,389.78x = 136,702,258,451.62
  5. Step 5: Solve for x
    x = 136,702,258,451.62/424,389.78
  6. Step 6: Final answer
    x = 322,114.87

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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.