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Finding the Fourth Proportional to 465,518.48, 642,416 and 264,314.48

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Solution

The fourth proportional to 465,518.48, 642,416 and 264,314.48 is: 364,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,518.48 : 642,416 = 264,314.48 : x
  2. Step 2: Convert to fraction form
    465,518.48/642,416 = 264,314.48/x
  3. Step 3: Cross multiply
    465,518.48x = 642,416 × 264,314.48
  4. Step 4: Simplify right side
    465,518.48x = 169,799,850,983.68
  5. Step 5: Solve for x
    x = 169,799,850,983.68/465,518.48
  6. Step 6: Final answer
    x = 364,754.26

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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.