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Finding the Fourth Proportional to 360,496.20, 540,744.30 and 313,840.20

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Solution

The fourth proportional to 360,496.20, 540,744.30 and 313,840.20 is: 470,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,496.20 : 540,744.30 = 313,840.20 : x
  2. Step 2: Convert to fraction form
    360,496.20/540,744.30 = 313,840.20/x
  3. Step 3: Cross multiply
    360,496.20x = 540,744.30 × 313,840.20
  4. Step 4: Simplify right side
    360,496.20x = 169,707,299,260.86
  5. Step 5: Solve for x
    x = 169,707,299,260.86/360,496.20
  6. Step 6: Final answer
    x = 470,760.30

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1.5x scale

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.