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Finding the Fourth Proportional to 504,024.77, 756,353.64 and 204,506.57

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Solution

The fourth proportional to 504,024.77, 756,353.64 and 204,506.57 is: 306,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,024.77 : 756,353.64 = 204,506.57 : x
  2. Step 2: Convert to fraction form
    504,024.77/756,353.64 = 204,506.57/x
  3. Step 3: Cross multiply
    504,024.77x = 756,353.64 × 204,506.57
  4. Step 4: Simplify right side
    504,024.77x = 154,679,288,623.42
  5. Step 5: Solve for x
    x = 154,679,288,623.42/504,024.77
  6. Step 6: Final answer
    x = 306,888.27

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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.