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Finding the Fourth Proportional to 462,328.67, 638,033.25 and 258,379.58

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Solution

The fourth proportional to 462,328.67, 638,033.25 and 258,379.58 is: 356,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,328.67 : 638,033.25 = 258,379.58 : x
  2. Step 2: Convert to fraction form
    462,328.67/638,033.25 = 258,379.58/x
  3. Step 3: Cross multiply
    462,328.67x = 638,033.25 × 258,379.58
  4. Step 4: Simplify right side
    462,328.67x = 164,854,759,970.87
  5. Step 5: Solve for x
    x = 164,854,759,970.87/462,328.67
  6. Step 6: Final answer
    x = 356,574.82

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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.