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Finding the Fourth Proportional to 324,006.80, 486,593.40 and 313,509.20

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Solution

The fourth proportional to 324,006.80, 486,593.40 and 313,509.20 is: 470,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,006.80 : 486,593.40 = 313,509.20 : x
  2. Step 2: Convert to fraction form
    324,006.80/486,593.40 = 313,509.20/x
  3. Step 3: Cross multiply
    324,006.80x = 486,593.40 × 313,509.20
  4. Step 4: Simplify right side
    324,006.80x = 152,551,507,559.28
  5. Step 5: Solve for x
    x = 152,551,507,559.28/324,006.80
  6. Step 6: Final answer
    x = 470,828.10

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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.