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Finding the Fourth Proportional to 462,684.44, 638,518.51 and 258,743.96

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Solution

The fourth proportional to 462,684.44, 638,518.51 and 258,743.96 is: 357,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,684.44 : 638,518.51 = 258,743.96 : x
  2. Step 2: Convert to fraction form
    462,684.44/638,518.51 = 258,743.96/x
  3. Step 3: Cross multiply
    462,684.44x = 638,518.51 × 258,743.96
  4. Step 4: Simplify right side
    462,684.44x = 165,212,807,810.70
  5. Step 5: Solve for x
    x = 165,212,807,810.70/462,684.44
  6. Step 6: Final answer
    x = 357,074.48

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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.