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Finding the Fourth Proportional to 395,455.68, 545,767.80 and 225,715.32

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Solution

The fourth proportional to 395,455.68, 545,767.80 and 225,715.32 is: 311,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,455.68 : 545,767.80 = 225,715.32 : x
  2. Step 2: Convert to fraction form
    395,455.68/545,767.80 = 225,715.32/x
  3. Step 3: Cross multiply
    395,455.68x = 545,767.80 × 225,715.32
  4. Step 4: Simplify right side
    395,455.68x = 123,188,153,622.70
  5. Step 5: Solve for x
    x = 123,188,153,622.70/395,455.68
  6. Step 6: Final answer
    x = 311,509.38

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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.