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Finding the Fourth Proportional to 264,320, 364,493.48 and 226,206.06

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Solution

The fourth proportional to 264,320, 364,493.48 and 226,206.06 is: 311,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,320 : 364,493.48 = 226,206.06 : x
  2. Step 2: Convert to fraction form
    264,320/364,493.48 = 226,206.06/x
  3. Step 3: Cross multiply
    264,320x = 364,493.48 × 226,206.06
  4. Step 4: Simplify right side
    264,320x = 82,450,634,006.49
  5. Step 5: Solve for x
    x = 82,450,634,006.49/264,320
  6. Step 6: Final answer
    x = 311,934.90

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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.