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Finding the Fourth Proportional to 447,043.27, 616,900.94 and 253,464.01

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Solution

The fourth proportional to 447,043.27, 616,900.94 and 253,464.01 is: 349,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,043.27 : 616,900.94 = 253,464.01 : x
  2. Step 2: Convert to fraction form
    447,043.27/616,900.94 = 253,464.01/x
  3. Step 3: Cross multiply
    447,043.27x = 616,900.94 × 253,464.01
  4. Step 4: Simplify right side
    447,043.27x = 156,362,186,025.17
  5. Step 5: Solve for x
    x = 156,362,186,025.17/447,043.27
  6. Step 6: Final answer
    x = 349,769.69

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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.