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Finding the Fourth Proportional to 459,762.80, 689,233.80 and 179,214.80

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Solution

The fourth proportional to 459,762.80, 689,233.80 and 179,214.80 is: 268,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,762.80 : 689,233.80 = 179,214.80 : x
  2. Step 2: Convert to fraction form
    459,762.80/689,233.80 = 179,214.80/x
  3. Step 3: Cross multiply
    459,762.80x = 689,233.80 × 179,214.80
  4. Step 4: Simplify right side
    459,762.80x = 123,520,897,620.24
  5. Step 5: Solve for x
    x = 123,520,897,620.24/459,762.80
  6. Step 6: Final answer
    x = 268,662.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.