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Finding the Fourth Proportional to 424,248.14, 585,474.62 and 258,685.82

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Solution

The fourth proportional to 424,248.14, 585,474.62 and 258,685.82 is: 356,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,248.14 : 585,474.62 = 258,685.82 : x
  2. Step 2: Convert to fraction form
    424,248.14/585,474.62 = 258,685.82/x
  3. Step 3: Cross multiply
    424,248.14x = 585,474.62 × 258,685.82
  4. Step 4: Simplify right side
    424,248.14x = 151,453,978,913.16
  5. Step 5: Solve for x
    x = 151,453,978,913.16/424,248.14
  6. Step 6: Final answer
    x = 356,993.86

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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.