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Finding the Fourth Proportional to 424,175.64, 585,373.52 and 233,193.84

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Solution

The fourth proportional to 424,175.64, 585,373.52 and 233,193.84 is: 321,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,175.64 : 585,373.52 = 233,193.84 : x
  2. Step 2: Convert to fraction form
    424,175.64/585,373.52 = 233,193.84/x
  3. Step 3: Cross multiply
    424,175.64x = 585,373.52 × 233,193.84
  4. Step 4: Simplify right side
    424,175.64x = 136,505,498,963.12
  5. Step 5: Solve for x
    x = 136,505,498,963.12/424,175.64
  6. Step 6: Final answer
    x = 321,813.62

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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.