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Finding the Fourth Proportional to 469,378.57, 703,756.77 and 169,820.17

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Solution

The fourth proportional to 469,378.57, 703,756.77 and 169,820.17 is: 254,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,378.57 : 703,756.77 = 169,820.17 : x
  2. Step 2: Convert to fraction form
    469,378.57/703,756.77 = 169,820.17/x
  3. Step 3: Cross multiply
    469,378.57x = 703,756.77 × 169,820.17
  4. Step 4: Simplify right side
    469,378.57x = 119,512,094,320.05
  5. Step 5: Solve for x
    x = 119,512,094,320.05/469,378.57
  6. Step 6: Final answer
    x = 254,617.71

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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.