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Finding the Fourth Proportional to 313,970.46, 470,972.04 and 103,624.80

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Solution

The fourth proportional to 313,970.46, 470,972.04 and 103,624.80 is: 155,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,970.46 : 470,972.04 = 103,624.80 : x
  2. Step 2: Convert to fraction form
    313,970.46/470,972.04 = 103,624.80/x
  3. Step 3: Cross multiply
    313,970.46x = 470,972.04 × 103,624.80
  4. Step 4: Simplify right side
    313,970.46x = 48,804,383,450.59
  5. Step 5: Solve for x
    x = 48,804,383,450.59/313,970.46
  6. Step 6: Final answer
    x = 155,442.60

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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.