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Finding the Fourth Proportional to 313,969.80, 470,952.54 and 103,624.68

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Solution

The fourth proportional to 313,969.80, 470,952.54 and 103,624.68 is: 155,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,969.80 : 470,952.54 = 103,624.68 : x
  2. Step 2: Convert to fraction form
    313,969.80/470,952.54 = 103,624.68/x
  3. Step 3: Cross multiply
    313,969.80x = 470,952.54 × 103,624.68
  4. Step 4: Simplify right side
    313,969.80x = 48,802,306,252.69
  5. Step 5: Solve for x
    x = 48,802,306,252.69/313,969.80
  6. Step 6: Final answer
    x = 155,436.31

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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.