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Finding the Fourth Proportional to 416,919.77, 575,184.93 and 271,894.50

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Solution

The fourth proportional to 416,919.77, 575,184.93 and 271,894.50 is: 375,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,919.77 : 575,184.93 = 271,894.50 : x
  2. Step 2: Convert to fraction form
    416,919.77/575,184.93 = 271,894.50/x
  3. Step 3: Cross multiply
    416,919.77x = 575,184.93 × 271,894.50
  4. Step 4: Simplify right side
    416,919.77x = 156,389,620,908.29
  5. Step 5: Solve for x
    x = 156,389,620,908.29/416,919.77
  6. Step 6: Final answer
    x = 375,107.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.