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Finding the Fourth Proportional to 469,104.40, 703,855.86 and 232,451.56

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Solution

The fourth proportional to 469,104.40, 703,855.86 and 232,451.56 is: 348,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,104.40 : 703,855.86 = 232,451.56 : x
  2. Step 2: Convert to fraction form
    469,104.40/703,855.86 = 232,451.56/x
  3. Step 3: Cross multiply
    469,104.40x = 703,855.86 × 232,451.56
  4. Step 4: Simplify right side
    469,104.40x = 163,612,392,672.14
  5. Step 5: Solve for x
    x = 163,612,392,672.14/469,104.40
  6. Step 6: Final answer
    x = 348,776.08

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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.