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Finding the Fourth Proportional to 462,124.81, 637,732.18 and 258,175.78

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Solution

The fourth proportional to 462,124.81, 637,732.18 and 258,175.78 is: 356,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,124.81 : 637,732.18 = 258,175.78 : x
  2. Step 2: Convert to fraction form
    462,124.81/637,732.18 = 258,175.78/x
  3. Step 3: Cross multiply
    462,124.81x = 637,732.18 × 258,175.78
  4. Step 4: Simplify right side
    462,124.81x = 164,647,003,002.60
  5. Step 5: Solve for x
    x = 164,647,003,002.60/462,124.81
  6. Step 6: Final answer
    x = 356,282.54

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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.