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Finding the Fourth Proportional to 511,532.48, 705,956.87 and 282,134.64

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Solution

The fourth proportional to 511,532.48, 705,956.87 and 282,134.64 is: 389,369.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,532.48 : 705,956.87 = 282,134.64 : x
  2. Step 2: Convert to fraction form
    511,532.48/705,956.87 = 282,134.64/x
  3. Step 3: Cross multiply
    511,532.48x = 705,956.87 × 282,134.64
  4. Step 4: Simplify right side
    511,532.48x = 199,174,889,138.64
  5. Step 5: Solve for x
    x = 199,174,889,138.64/511,532.48
  6. Step 6: Final answer
    x = 389,369.00

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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.