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Finding the Fourth Proportional to 469,105.40, 703,857.36 and 232,452.56

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Solution

The fourth proportional to 469,105.40, 703,857.36 and 232,452.56 is: 348,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,105.40 : 703,857.36 = 232,452.56 : x
  2. Step 2: Convert to fraction form
    469,105.40/703,857.36 = 232,452.56/x
  3. Step 3: Cross multiply
    469,105.40x = 703,857.36 × 232,452.56
  4. Step 4: Simplify right side
    469,105.40x = 163,613,445,206.84
  5. Step 5: Solve for x
    x = 163,613,445,206.84/469,105.40
  6. Step 6: Final answer
    x = 348,777.58

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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.