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Finding the Fourth Proportional to 357,215.96, 493,003.52 and 206,312.96

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Solution

The fourth proportional to 357,215.96, 493,003.52 and 206,312.96 is: 284,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,215.96 : 493,003.52 = 206,312.96 : x
  2. Step 2: Convert to fraction form
    357,215.96/493,003.52 = 206,312.96/x
  3. Step 3: Cross multiply
    357,215.96x = 493,003.52 × 206,312.96
  4. Step 4: Simplify right side
    357,215.96x = 101,713,012,005.04
  5. Step 5: Solve for x
    x = 101,713,012,005.04/357,215.96
  6. Step 6: Final answer
    x = 284,738.16

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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.