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Finding the Fourth Proportional to 512,434.24, 765,287.12 and 436,747.84

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Solution

The fourth proportional to 512,434.24, 765,287.12 and 436,747.84 is: 652,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,434.24 : 765,287.12 = 436,747.84 : x
  2. Step 2: Convert to fraction form
    512,434.24/765,287.12 = 436,747.84/x
  3. Step 3: Cross multiply
    512,434.24x = 765,287.12 × 436,747.84
  4. Step 4: Simplify right side
    512,434.24x = 334,237,496,639.82
  5. Step 5: Solve for x
    x = 334,237,496,639.82/512,434.24
  6. Step 6: Final answer
    x = 652,254.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.