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Finding the Fourth Proportional to 331,626.82, 457,657.30 and 188,411.16

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Solution

The fourth proportional to 331,626.82, 457,657.30 and 188,411.16 is: 260,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,626.82 : 457,657.30 = 188,411.16 : x
  2. Step 2: Convert to fraction form
    331,626.82/457,657.30 = 188,411.16/x
  3. Step 3: Cross multiply
    331,626.82x = 457,657.30 × 188,411.16
  4. Step 4: Simplify right side
    331,626.82x = 86,227,742,775.47
  5. Step 5: Solve for x
    x = 86,227,742,775.47/331,626.82
  6. Step 6: Final answer
    x = 260,014.38

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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.