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Finding the Fourth Proportional to 410,753, 616,199.56 and 183,131.21

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Solution

The fourth proportional to 410,753, 616,199.56 and 183,131.21 is: 274,728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,753 : 616,199.56 = 183,131.21 : x
  2. Step 2: Convert to fraction form
    410,753/616,199.56 = 183,131.21/x
  3. Step 3: Cross multiply
    410,753x = 616,199.56 × 183,131.21
  4. Step 4: Simplify right side
    410,753x = 112,845,371,024.27
  5. Step 5: Solve for x
    x = 112,845,371,024.27/410,753
  6. Step 6: Final answer
    x = 274,728.05

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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.