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Finding the Fourth Proportional to 585,949.88, 878,221.64 and 301,774.16

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Solution

The fourth proportional to 585,949.88, 878,221.64 and 301,774.16 is: 452,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,949.88 : 878,221.64 = 301,774.16 : x
  2. Step 2: Convert to fraction form
    585,949.88/878,221.64 = 301,774.16/x
  3. Step 3: Cross multiply
    585,949.88x = 878,221.64 × 301,774.16
  4. Step 4: Simplify right side
    585,949.88x = 265,024,597,704.82
  5. Step 5: Solve for x
    x = 265,024,597,704.82/585,949.88
  6. Step 6: Final answer
    x = 452,299.09

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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.