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Finding the Fourth Proportional to 462,405.28, 693,557.52 and 313,601.44

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Solution

The fourth proportional to 462,405.28, 693,557.52 and 313,601.44 is: 470,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,405.28 : 693,557.52 = 313,601.44 : x
  2. Step 2: Convert to fraction form
    462,405.28/693,557.52 = 313,601.44/x
  3. Step 3: Cross multiply
    462,405.28x = 693,557.52 × 313,601.44
  4. Step 4: Simplify right side
    462,405.28x = 217,500,636,994.83
  5. Step 5: Solve for x
    x = 217,500,636,994.83/462,405.28
  6. Step 6: Final answer
    x = 470,367.98

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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.