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Finding the Fourth Proportional to 505,529.87, 697,310.83 and 384,405.61

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Solution

The fourth proportional to 505,529.87, 697,310.83 and 384,405.61 is: 530,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,529.87 : 697,310.83 = 384,405.61 : x
  2. Step 2: Convert to fraction form
    505,529.87/697,310.83 = 384,405.61/x
  3. Step 3: Cross multiply
    505,529.87x = 697,310.83 × 384,405.61
  4. Step 4: Simplify right side
    505,529.87x = 268,050,194,965.76
  5. Step 5: Solve for x
    x = 268,050,194,965.76/505,529.87
  6. Step 6: Final answer
    x = 530,236.12

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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.