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Finding the Fourth Proportional to 413,443.20, 620,164.80 and 320,131.20

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Solution

The fourth proportional to 413,443.20, 620,164.80 and 320,131.20 is: 480,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,443.20 : 620,164.80 = 320,131.20 : x
  2. Step 2: Convert to fraction form
    413,443.20/620,164.80 = 320,131.20/x
  3. Step 3: Cross multiply
    413,443.20x = 620,164.80 × 320,131.20
  4. Step 4: Simplify right side
    413,443.20x = 198,534,101,621.76
  5. Step 5: Solve for x
    x = 198,534,101,621.76/413,443.20
  6. Step 6: Final answer
    x = 480,196.80

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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.