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Finding the Fourth Proportional to 313,969.72, 470,970.90 and 103,624.06

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Solution

The fourth proportional to 313,969.72, 470,970.90 and 103,624.06 is: 155,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.72 : 470,970.90 = 103,624.06 : x
  2. Step 2: Convert to fraction form
    313,969.72/470,970.90 = 103,624.06/x
  3. Step 3: Cross multiply
    313,969.72x = 470,970.90 × 103,624.06
  4. Step 4: Simplify right side
    313,969.72x = 48,803,916,799.85
  5. Step 5: Solve for x
    x = 48,803,916,799.85/313,969.72
  6. Step 6: Final answer
    x = 155,441.48

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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.