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Finding the Fourth Proportional to 468,714.72, 703,104.96 and 188,232

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Solution

The fourth proportional to 468,714.72, 703,104.96 and 188,232 is: 282,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,714.72 : 703,104.96 = 188,232 : x
  2. Step 2: Convert to fraction form
    468,714.72/703,104.96 = 188,232/x
  3. Step 3: Cross multiply
    468,714.72x = 703,104.96 × 188,232
  4. Step 4: Simplify right side
    468,714.72x = 132,346,852,830.72
  5. Step 5: Solve for x
    x = 132,346,852,830.72/468,714.72
  6. Step 6: Final answer
    x = 282,361.20

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Why These Related Problems?

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