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Finding the Fourth Proportional to 323,638.80, 486,041.40 and 313,141.20

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Solution

The fourth proportional to 323,638.80, 486,041.40 and 313,141.20 is: 470,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,638.80 : 486,041.40 = 313,141.20 : x
  2. Step 2: Convert to fraction form
    323,638.80/486,041.40 = 313,141.20/x
  3. Step 3: Cross multiply
    323,638.80x = 486,041.40 × 313,141.20
  4. Step 4: Simplify right side
    323,638.80x = 152,199,587,245.68
  5. Step 5: Solve for x
    x = 152,199,587,245.68/323,638.80
  6. Step 6: Final answer
    x = 470,276.08

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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.