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Finding the Fourth Proportional to 511,005.84, 705,272.04 and 284,724.24

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Solution

The fourth proportional to 511,005.84, 705,272.04 and 284,724.24 is: 392,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,005.84 : 705,272.04 = 284,724.24 : x
  2. Step 2: Convert to fraction form
    511,005.84/705,272.04 = 284,724.24/x
  3. Step 3: Cross multiply
    511,005.84x = 705,272.04 × 284,724.24
  4. Step 4: Simplify right side
    511,005.84x = 200,808,045,582.25
  5. Step 5: Solve for x
    x = 200,808,045,582.25/511,005.84
  6. Step 6: Final answer
    x = 392,966.24

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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.