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Finding the Fourth Proportional to 424,531.36, 585,840.96 and 233,544.64

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Solution

The fourth proportional to 424,531.36, 585,840.96 and 233,544.64 is: 322,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,531.36 : 585,840.96 = 233,544.64 : x
  2. Step 2: Convert to fraction form
    424,531.36/585,840.96 = 233,544.64/x
  3. Step 3: Cross multiply
    424,531.36x = 585,840.96 × 233,544.64
  4. Step 4: Simplify right side
    424,531.36x = 136,820,016,100.45
  5. Step 5: Solve for x
    x = 136,820,016,100.45/424,531.36
  6. Step 6: Final answer
    x = 322,284.83

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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.