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Finding the Fourth Proportional to 462,515.44, 638,268.38 and 258,565.39

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Solution

The fourth proportional to 462,515.44, 638,268.38 and 258,565.39 is: 356,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,515.44 : 638,268.38 = 258,565.39 : x
  2. Step 2: Convert to fraction form
    462,515.44/638,268.38 = 258,565.39/x
  3. Step 3: Cross multiply
    462,515.44x = 638,268.38 × 258,565.39
  4. Step 4: Simplify right side
    462,515.44x = 165,034,109,710.87
  5. Step 5: Solve for x
    x = 165,034,109,710.87/462,515.44
  6. Step 6: Final answer
    x = 356,818.60

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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.