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Finding the Fourth Proportional to 777,184, 1,072,517.12 and 437,657.92

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Solution

The fourth proportional to 777,184, 1,072,517.12 and 437,657.92 is: 603,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,184 : 1,072,517.12 = 437,657.92 : x
  2. Step 2: Convert to fraction form
    777,184/1,072,517.12 = 437,657.92/x
  3. Step 3: Cross multiply
    777,184x = 1,072,517.12 × 437,657.92
  4. Step 4: Simplify right side
    777,184x = 469,395,611,903.59
  5. Step 5: Solve for x
    x = 469,395,611,903.59/777,184
  6. Step 6: Final answer
    x = 603,969.73

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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.