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Finding the Fourth Proportional to 424,249.14, 585,476 and 258,686.82

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Solution

The fourth proportional to 424,249.14, 585,476 and 258,686.82 is: 356,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,249.14 : 585,476 = 258,686.82 : x
  2. Step 2: Convert to fraction form
    424,249.14/585,476 = 258,686.82/x
  3. Step 3: Cross multiply
    424,249.14x = 585,476 × 258,686.82
  4. Step 4: Simplify right side
    424,249.14x = 151,454,924,626.32
  5. Step 5: Solve for x
    x = 151,454,924,626.32/424,249.14
  6. Step 6: Final answer
    x = 356,995.24

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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.