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Finding the Fourth Proportional to 313,482.20, 470,223.30 and 225,564.80

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Solution

The fourth proportional to 313,482.20, 470,223.30 and 225,564.80 is: 338,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,482.20 : 470,223.30 = 225,564.80 : x
  2. Step 2: Convert to fraction form
    313,482.20/470,223.30 = 225,564.80/x
  3. Step 3: Cross multiply
    313,482.20x = 470,223.30 × 225,564.80
  4. Step 4: Simplify right side
    313,482.20x = 106,065,824,619.84
  5. Step 5: Solve for x
    x = 106,065,824,619.84/313,482.20
  6. Step 6: Final answer
    x = 338,347.20

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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.