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Finding the Fourth Proportional to 260,875.62, 393,090.38 and 214,528.84

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Solution

The fourth proportional to 260,875.62, 393,090.38 and 214,528.84 is: 323,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,875.62 : 393,090.38 = 214,528.84 : x
  2. Step 2: Convert to fraction form
    260,875.62/393,090.38 = 214,528.84/x
  3. Step 3: Cross multiply
    260,875.62x = 393,090.38 × 214,528.84
  4. Step 4: Simplify right side
    260,875.62x = 84,329,223,236.56
  5. Step 5: Solve for x
    x = 84,329,223,236.56/260,875.62
  6. Step 6: Final answer
    x = 323,254.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.