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Finding the Fourth Proportional to 424,107.66, 585,276.93 and 233,138.82

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Solution

The fourth proportional to 424,107.66, 585,276.93 and 233,138.82 is: 321,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,107.66 : 585,276.93 = 233,138.82 : x
  2. Step 2: Convert to fraction form
    424,107.66/585,276.93 = 233,138.82/x
  3. Step 3: Cross multiply
    424,107.66x = 585,276.93 × 233,138.82
  4. Step 4: Simplify right side
    424,107.66x = 136,450,772,833.42
  5. Step 5: Solve for x
    x = 136,450,772,833.42/424,107.66
  6. Step 6: Final answer
    x = 321,736.17

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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.