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Finding the Fourth Proportional to 504,219.78, 756,314.34 and 204,693.12

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Solution

The fourth proportional to 504,219.78, 756,314.34 and 204,693.12 is: 307,033.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,219.78 : 756,314.34 = 204,693.12 : x
  2. Step 2: Convert to fraction form
    504,219.78/756,314.34 = 204,693.12/x
  3. Step 3: Cross multiply
    504,219.78x = 756,314.34 × 204,693.12
  4. Step 4: Simplify right side
    504,219.78x = 154,812,341,955.34
  5. Step 5: Solve for x
    x = 154,812,341,955.34/504,219.78
  6. Step 6: Final answer
    x = 307,033.46

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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.