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Finding the Fourth Proportional to 462,887.94, 638,755.20 and 258,903.48

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Solution

The fourth proportional to 462,887.94, 638,755.20 and 258,903.48 is: 357,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,887.94 : 638,755.20 = 258,903.48 : x
  2. Step 2: Convert to fraction form
    462,887.94/638,755.20 = 258,903.48/x
  3. Step 3: Cross multiply
    462,887.94x = 638,755.20 × 258,903.48
  4. Step 4: Simplify right side
    462,887.94x = 165,375,944,148.10
  5. Step 5: Solve for x
    x = 165,375,944,148.10/462,887.94
  6. Step 6: Final answer
    x = 357,269.93

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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.