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Finding the Fourth Proportional to 768,052.80, 1,152,079.20 and 324,820.80

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Solution

The fourth proportional to 768,052.80, 1,152,079.20 and 324,820.80 is: 487,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,052.80 : 1,152,079.20 = 324,820.80 : x
  2. Step 2: Convert to fraction form
    768,052.80/1,152,079.20 = 324,820.80/x
  3. Step 3: Cross multiply
    768,052.80x = 1,152,079.20 × 324,820.80
  4. Step 4: Simplify right side
    768,052.80x = 374,219,287,407.36
  5. Step 5: Solve for x
    x = 374,219,287,407.36/768,052.80
  6. Step 6: Final answer
    x = 487,231.20

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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.