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Finding the Fourth Proportional to 424,196.57, 585,386.02 and 233,208.29

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Solution

The fourth proportional to 424,196.57, 585,386.02 and 233,208.29 is: 321,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,196.57 : 585,386.02 = 233,208.29 : x
  2. Step 2: Convert to fraction form
    424,196.57/585,386.02 = 233,208.29/x
  3. Step 3: Cross multiply
    424,196.57x = 585,386.02 × 233,208.29
  4. Step 4: Simplify right side
    424,196.57x = 136,516,874,469.08
  5. Step 5: Solve for x
    x = 136,516,874,469.08/424,196.57
  6. Step 6: Final answer
    x = 321,824.56

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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.