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Finding the Fourth Proportional to 490,464.92, 735,754.98 and 174,966.68

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Solution

The fourth proportional to 490,464.92, 735,754.98 and 174,966.68 is: 262,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,464.92 : 735,754.98 = 174,966.68 : x
  2. Step 2: Convert to fraction form
    490,464.92/735,754.98 = 174,966.68/x
  3. Step 3: Cross multiply
    490,464.92x = 735,754.98 × 174,966.68
  4. Step 4: Simplify right side
    490,464.92x = 128,732,606,144.07
  5. Step 5: Solve for x
    x = 128,732,606,144.07/490,464.92
  6. Step 6: Final answer
    x = 262,470.57

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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.