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Finding the Fourth Proportional to 424,013.02, 585,141.24 and 233,029.60

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Solution

The fourth proportional to 424,013.02, 585,141.24 and 233,029.60 is: 321,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,013.02 : 585,141.24 = 233,029.60 : x
  2. Step 2: Convert to fraction form
    424,013.02/585,141.24 = 233,029.60/x
  3. Step 3: Cross multiply
    424,013.02x = 585,141.24 × 233,029.60
  4. Step 4: Simplify right side
    424,013.02x = 136,355,229,100.70
  5. Step 5: Solve for x
    x = 136,355,229,100.70/424,013.02
  6. Step 6: Final answer
    x = 321,582.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.