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Finding the Fourth Proportional to 469,103.90, 703,855.11 and 232,451.06

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Solution

The fourth proportional to 469,103.90, 703,855.11 and 232,451.06 is: 348,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,103.90 : 703,855.11 = 232,451.06 : x
  2. Step 2: Convert to fraction form
    469,103.90/703,855.11 = 232,451.06/x
  3. Step 3: Cross multiply
    469,103.90x = 703,855.11 × 232,451.06
  4. Step 4: Simplify right side
    469,103.90x = 163,611,866,405.92
  5. Step 5: Solve for x
    x = 163,611,866,405.92/469,103.90
  6. Step 6: Final answer
    x = 348,775.33

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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.