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Finding the Fourth Proportional to 459,866.48, 634,609.24 and 258,662

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Solution

The fourth proportional to 459,866.48, 634,609.24 and 258,662 is: 356,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,866.48 : 634,609.24 = 258,662 : x
  2. Step 2: Convert to fraction form
    459,866.48/634,609.24 = 258,662/x
  3. Step 3: Cross multiply
    459,866.48x = 634,609.24 × 258,662
  4. Step 4: Simplify right side
    459,866.48x = 164,149,295,236.88
  5. Step 5: Solve for x
    x = 164,149,295,236.88/459,866.48
  6. Step 6: Final answer
    x = 356,949.90

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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.