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Finding the Fourth Proportional to 380,602.04, 525,226.38 and 206,168.96

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Solution

The fourth proportional to 380,602.04, 525,226.38 and 206,168.96 is: 284,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,602.04 : 525,226.38 = 206,168.96 : x
  2. Step 2: Convert to fraction form
    380,602.04/525,226.38 = 206,168.96/x
  3. Step 3: Cross multiply
    380,602.04x = 525,226.38 × 206,168.96
  4. Step 4: Simplify right side
    380,602.04x = 108,285,376,529.17
  5. Step 5: Solve for x
    x = 108,285,376,529.17/380,602.04
  6. Step 6: Final answer
    x = 284,510.76

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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.