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Finding the Fourth Proportional to 512,334.72, 766,927.32 and 436,752

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Solution

The fourth proportional to 512,334.72, 766,927.32 and 436,752 is: 653,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,334.72 : 766,927.32 = 436,752 : x
  2. Step 2: Convert to fraction form
    512,334.72/766,927.32 = 436,752/x
  3. Step 3: Cross multiply
    512,334.72x = 766,927.32 × 436,752
  4. Step 4: Simplify right side
    512,334.72x = 334,957,040,864.64
  5. Step 5: Solve for x
    x = 334,957,040,864.64/512,334.72
  6. Step 6: Final answer
    x = 653,785.56

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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.