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Finding the Fourth Proportional to 424,088.56, 585,243.48 and 233,121.52

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Solution

The fourth proportional to 424,088.56, 585,243.48 and 233,121.52 is: 321,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,088.56 : 585,243.48 = 233,121.52 : x
  2. Step 2: Convert to fraction form
    424,088.56/585,243.48 = 233,121.52/x
  3. Step 3: Cross multiply
    424,088.56x = 585,243.48 × 233,121.52
  4. Step 4: Simplify right side
    424,088.56x = 136,432,849,627.69
  5. Step 5: Solve for x
    x = 136,432,849,627.69/424,088.56
  6. Step 6: Final answer
    x = 321,708.39

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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.