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Finding the Fourth Proportional to 410,753.51, 616,200.32 and 183,131.72

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Solution

The fourth proportional to 410,753.51, 616,200.32 and 183,131.72 is: 274,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,753.51 : 616,200.32 = 183,131.72 : x
  2. Step 2: Convert to fraction form
    410,753.51/616,200.32 = 183,131.72/x
  3. Step 3: Cross multiply
    410,753.51x = 616,200.32 × 183,131.72
  4. Step 4: Simplify right side
    410,753.51x = 112,845,820,469.49
  5. Step 5: Solve for x
    x = 112,845,820,469.49/410,753.51
  6. Step 6: Final answer
    x = 274,728.81

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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.