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Finding the Fourth Proportional to 357,764.82, 493,713.81 and 204,802.17

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Solution

The fourth proportional to 357,764.82, 493,713.81 and 204,802.17 is: 282,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,764.82 : 493,713.81 = 204,802.17 : x
  2. Step 2: Convert to fraction form
    357,764.82/493,713.81 = 204,802.17/x
  3. Step 3: Cross multiply
    357,764.82x = 493,713.81 × 204,802.17
  4. Step 4: Simplify right side
    357,764.82x = 101,113,659,646.97
  5. Step 5: Solve for x
    x = 101,113,659,646.97/357,764.82
  6. Step 6: Final answer
    x = 282,626.05

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Why These Related Problems?

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