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Finding the Fourth Proportional to 504,513.45, 757,207.42 and 264,796.68

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Solution

The fourth proportional to 504,513.45, 757,207.42 and 264,796.68 is: 397,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,513.45 : 757,207.42 = 264,796.68 : x
  2. Step 2: Convert to fraction form
    504,513.45/757,207.42 = 264,796.68/x
  3. Step 3: Cross multiply
    504,513.45x = 757,207.42 × 264,796.68
  4. Step 4: Simplify right side
    504,513.45x = 200,506,009,563.38
  5. Step 5: Solve for x
    x = 200,506,009,563.38/504,513.45
  6. Step 6: Final answer
    x = 397,424.51

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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.