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Finding the Fourth Proportional to 424,208.26, 585,411.34 and 233,223

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Solution

The fourth proportional to 424,208.26, 585,411.34 and 233,223 is: 321,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,208.26 : 585,411.34 = 233,223 : x
  2. Step 2: Convert to fraction form
    424,208.26/585,411.34 = 233,223/x
  3. Step 3: Cross multiply
    424,208.26x = 585,411.34 × 233,223
  4. Step 4: Simplify right side
    424,208.26x = 136,531,388,948.82
  5. Step 5: Solve for x
    x = 136,531,388,948.82/424,208.26
  6. Step 6: Final answer
    x = 321,849.91

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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.