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Finding the Fourth Proportional to 802,065.28, 1,202,992.32 and 381,608.32

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Solution

The fourth proportional to 802,065.28, 1,202,992.32 and 381,608.32 is: 572,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,065.28 : 1,202,992.32 = 381,608.32 : x
  2. Step 2: Convert to fraction form
    802,065.28/1,202,992.32 = 381,608.32/x
  3. Step 3: Cross multiply
    802,065.28x = 1,202,992.32 × 381,608.32
  4. Step 4: Simplify right side
    802,065.28x = 459,071,878,208.10
  5. Step 5: Solve for x
    x = 459,071,878,208.10/802,065.28
  6. Step 6: Final answer
    x = 572,362.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.