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Finding the Fourth Proportional to 565,488, 780,375.06 and 323,774.28

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Solution

The fourth proportional to 565,488, 780,375.06 and 323,774.28 is: 446,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,488 : 780,375.06 = 323,774.28 : x
  2. Step 2: Convert to fraction form
    565,488/780,375.06 = 323,774.28/x
  3. Step 3: Cross multiply
    565,488x = 780,375.06 × 323,774.28
  4. Step 4: Simplify right side
    565,488x = 252,665,373,181.46
  5. Step 5: Solve for x
    x = 252,665,373,181.46/565,488
  6. Step 6: Final answer
    x = 446,809.43

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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.