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Finding the Fourth Proportional to 511,006.59, 705,273.08 and 284,724.99

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Solution

The fourth proportional to 511,006.59, 705,273.08 and 284,724.99 is: 392,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,006.59 : 705,273.08 = 284,724.99 : x
  2. Step 2: Convert to fraction form
    511,006.59/705,273.08 = 284,724.99/x
  3. Step 3: Cross multiply
    511,006.59x = 705,273.08 × 284,724.99
  4. Step 4: Simplify right side
    511,006.59x = 200,808,869,226.64
  5. Step 5: Solve for x
    x = 200,808,869,226.64/511,006.59
  6. Step 6: Final answer
    x = 392,967.28

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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.