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Finding the Fourth Proportional to 424,168.40, 585,363.57 and 233,186.60

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Solution

The fourth proportional to 424,168.40, 585,363.57 and 233,186.60 is: 321,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,168.40 : 585,363.57 = 233,186.60 : x
  2. Step 2: Convert to fraction form
    424,168.40/585,363.57 = 233,186.60/x
  3. Step 3: Cross multiply
    424,168.40x = 585,363.57 × 233,186.60
  4. Step 4: Simplify right side
    424,168.40x = 136,498,940,652.16
  5. Step 5: Solve for x
    x = 136,498,940,652.16/424,168.40
  6. Step 6: Final answer
    x = 321,803.65

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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.