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Finding the Fourth Proportional to 291,836.16, 437,756.16 and 252,276.48

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Solution

The fourth proportional to 291,836.16, 437,756.16 and 252,276.48 is: 378,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,836.16 : 437,756.16 = 252,276.48 : x
  2. Step 2: Convert to fraction form
    291,836.16/437,756.16 = 252,276.48/x
  3. Step 3: Cross multiply
    291,836.16x = 437,756.16 × 252,276.48
  4. Step 4: Simplify right side
    291,836.16x = 110,435,583,143.12
  5. Step 5: Solve for x
    x = 110,435,583,143.12/291,836.16
  6. Step 6: Final answer
    x = 378,416.38

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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.