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Finding the Fourth Proportional to 511,324.79, 705,631.70 and 284,984.87

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Solution

The fourth proportional to 511,324.79, 705,631.70 and 284,984.87 is: 393,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,324.79 : 705,631.70 = 284,984.87 : x
  2. Step 2: Convert to fraction form
    511,324.79/705,631.70 = 284,984.87/x
  3. Step 3: Cross multiply
    511,324.79x = 705,631.70 × 284,984.87
  4. Step 4: Simplify right side
    511,324.79x = 201,094,355,476.68
  5. Step 5: Solve for x
    x = 201,094,355,476.68/511,324.79
  6. Step 6: Final answer
    x = 393,281.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.